You should read the following discussion in conjunction with Management's
Discussion and Analysis of Financial Condition and Results of Operations
included in our Annual Report on form 10-K for the year ended December 31, 2020
("Annual Report") as filed on February 22, 2021 with the U.S. Securities and
Exchange Commission ("SEC") and the Notes to Condensed Consolidated Financial
Statements included elsewhere in this report.

Information About Forward-Looking Statements



This report includes "forward-looking statements" within the meaning of the
federal securities laws. In addition, we, or our executive officers on our
behalf, may from time to time make forward-looking statements in reports and
other documents we file with the SEC or in connection with oral statements made
to the press, potential investors or others. All statements that are not
historical facts are "forward-looking statements." Forward-looking statements
may be indicated by words or phrases such as "anticipate," "estimate," "plans,"
"expects," "projects," "should," "will," "believes" or "intends" and similar
words and phrases. These statements reflect management's current beliefs and are
not guarantees of future performance. They involve risks and uncertainties that
could cause actual results to differ materially from those expressed or implied
in any forward-looking statement. Such risks and uncertainties include any
ongoing impacts of the COVID-19 pandemic on our business, operations, financial
results and liquidity, which will depend on numerous evolving factors that we
cannot accurately predict or assess, including: the duration and scope of the
pandemic, new variants of the virus and the distribution and efficacy of
vaccines; any negative impact on global and regional markets, economies and
economic activity; actions governments, businesses and individuals take in
response to the pandemic; the effects of the pandemic, including all of the
foregoing, on our employees, customers, suppliers, and business partners, and
how quickly economies and demand for our products and services recover following
the pandemic.

Additional examples of forward-looking statements in this report include but are
not limited to statements regarding operating results, the success of our
operating plans, our expectations regarding our ability to generate cash and
reduce debt and associated interest expense, profit and cash flow expectations,
the prospects for newly acquired businesses to be integrated and contribute to
future growth and our expectations regarding growth through acquisitions.
Important assumptions relating to the forward-looking statements include, among
others, demand for our products, the cost, timing and success of product
upgrades and new product introductions, raw material costs, expected pricing
levels, expected outcomes of pending litigation, competitive conditions and
general economic conditions. These assumptions could prove inaccurate. Although
we believe that the estimates and projections reflected in the forward-looking
statements are reasonable, our expectations may prove to be incorrect. Important
factors that could cause actual results to differ materially from estimates or
projections contained in the forward-looking statements include but are not
limited to:

•general economic conditions;
•difficulty making acquisitions and successfully integrating acquired
businesses;
•any unforeseen liabilities associated with future acquisitions;
•limitations on our business imposed by our indebtedness;
•unfavorable changes in foreign exchange rates;
•failure to effectively mitigate cybersecurity threats, including any litigation
arising therefrom;
•failure to comply with new data privacy laws and regulations, including any
litigation arising therefrom;
•difficulties associated with exports/imports and risks of changes to tariff
rates;
•risks and costs associated with our international sales and operations;
•rising interest rates;
•product liability and insurance risks;
•increased warranty exposure;
•future competition;
•the cyclical nature of some of our markets;
•reduction of business with large customers;
•risks associated with government contracts;
•changes in the supply of, or price for, raw materials, parts and components;
•environmental compliance costs and liabilities;
•risks and costs associated with asbestos-related litigation;
•potential write-offs of our goodwill and other intangible assets;
•our ability to successfully develop new products;
•failure to protect our intellectual property;
•the effect of, or change in, government regulations (including tax);
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•economic disruption caused by terrorist attacks, health crises (such as the
COVID-19 pandemic) or other unforeseen geopolitical events; and
•the factors discussed in other reports filed with the SEC from time to time.

We believe these forward-looking statements are reasonable. However, you should
not place undue reliance on any forward-looking statements, which are based on
current expectations. Further, forward-looking statements speak only as of the
date they are made, and we undertake no obligation to publicly update any of
them in light of new information or future events.

Overview



Roper is a diversified technology company. We operate businesses that design and
develop software (both license and SaaS) and engineered products and solutions
for a variety of niche end markets.

We pursue consistent and sustainable growth in earnings and cash flow by
emphasizing continuous improvement in the operating performance of our existing
businesses and by acquiring other businesses that offer high value-added
software, services, engineered products and solutions that we believe are
capable of achieving growth and maintaining high margins. We compete in many
niche markets and believe we are the market leader or a competitive alternative
to the market leader in most of these markets.

Critical Accounting Policies



There were no material changes during the six months ended June 30, 2021 to the
items that we disclosed as our critical accounting policies and estimates in
"Item 7. Management's Discussion and Analysis of Financial Condition and Results
of Operations" in our Annual Report.

Recently Issued Accounting Standards

Information regarding new accounting pronouncements is included in Note 2 of the Notes to Condensed Consolidated Financial Statements.

Impact of COVID-19 on our Business



The extent to which the COVID-19 pandemic impacts our business, results of
operations and financial condition will depend on future developments, which are
highly uncertain and are difficult to predict, including, but not limited to,
the duration and spread of the outbreak, its severity, the actions to contain
the virus and its variants including the distribution, administration and
efficacy of available vaccines, and how quickly and to what extent normal
economic and operating conditions can resume. As COVID-19 and its variants
spread, particularly in countries with low vaccination rates, certain countries
may experience more severe and lasting impacts from the pandemic. To the extent
we have operations and/or customers in these countries, we may experience
adverse impacts on our businesses located in such countries.

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Results of Operations
All currency amounts are in millions, percentages are of net revenues

General

Percentages may not sum due to rounding.



The following table sets forth selected information for the periods indicated.
                                             Three months ended June 30,                   Six months ended June 30,
                                              2021                  2020                  2021                     2020
Net revenues:
Application Software                    $       591.6           $    398.4          $    1,168.2               $    803.5
Network Software & Systems                      458.7                422.0                 898.9                    860.2
Measurement & Analytical Solutions              397.0                363.9                 778.0                    729.1
Process Technologies                            140.3                120.7                 271.1                    262.9
Total                                   $     1,587.6           $  1,305.0          $    3,116.2               $  2,655.7
Gross margin:
Application Software                             69.2   %             68.7  %               69.2   %                 67.7  %
Network Software & Systems                       69.5                 67.5                  68.8                     67.2
Measurement & Analytical Solutions               58.0                 60.9                  58.5                     59.8
Process Technologies                             53.9                 52.7                  54.1                     54.1
Total                                            65.1                 64.7                  65.1                     64.0
Selling, general and administrative
expenses:
Application Software                             43.1   %             40.3  %               42.8   %                 41.5  %
Network Software & Systems                       36.7                 36.5                  37.0                     35.9
Measurement & Analytical Solutions               26.8                 27.1                  26.6                     27.3
Process Technologies                             22.5                 38.7                  23.7                     31.2
Total                                            35.4                 35.2                  35.4                     34.8
Segment operating margin:
Application Software                             26.1   %             28.5  %               26.4   %                 26.3  %
Network Software & Systems                       32.8                 30.9                  31.8                     31.3
Measurement & Analytical Solutions               31.2                 33.8                  31.9                     32.5
Process Technologies                             31.3                 14.0                  30.3                     22.9
Total                                            29.8                 29.4                  29.7                     29.3
Corporate administrative expenses                (3.4)                (3.9)                 (3.4)                    (3.6)
Income from operations                           26.3                 25.6                  26.3                     25.7
Interest expense, net                            (3.7)                (3.6)                 (3.9)                    (3.5)

Other income (expense), net                       0.1                 (0.2)                  0.9                        -
Earnings before income taxes                     22.6                 21.8                  23.3                     22.2
Income taxes                                     (4.6)                (5.0)                 (4.8)                    (4.9)
Net earnings                                     18.0   %             16.8  %               18.5   %                 17.3  %


Three months ended June 30, 2021 compared to three months ended June 30, 2020

Net revenues for the three months ended June 30, 2021 increased by 22% as compared to the three months ended June 30, 2020. Acquisitions contributed 12%, organic revenues increased 7% and foreign exchange contributed 2%.



In our Application Software segment, revenues were $591.6 in the second quarter
of 2021 as compared to $398.4 in the second quarter of 2020, an increase of 48%.
Acquisitions contributed 38%, organic revenues increased 9% and foreign exchange
contributed 2% to growth in the segment. The increase in organic revenues was
due to broad-based revenue growth across the segment led by our businesses
serving the government contracting, healthcare and education markets. Gross
margin increased
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to 69.2% in the second quarter of 2021 as compared to 68.7% in the second
quarter of 2020 due primarily to the acquisition of Vertafore and operating
leverage on higher organic revenues. Selling, general and administrative
("SG&A") expenses as a percentage of revenues increased to 43.1% in the second
quarter of 2021 as compared to 40.3% in the second quarter of 2020 due primarily
to higher amortization of acquired intangibles from the Vertafore and EPSi
acquisitions, partially offset by operating leverage on higher organic revenues.
The resulting operating margin was 26.1% in the second quarter of 2021 as
compared to 28.5% in the second quarter of 2020.

In our Network Software & Systems segment, revenues were $458.7 in the second
quarter of 2021 as compared to $422.0 in the second quarter of 2020, an increase
of 9%. Organic revenues increased 6%, acquisitions contributed 2% and foreign
exchange contributed 1% to growth in the segment. The increase in organic
revenues was primarily due to subscription growth at our SaaS businesses led by
our businesses serving the freight match and construction markets, partially
offset by lower toll tag volumes in our toll and traffic business. Gross margin
increased to 69.5% in the second quarter of 2021 as compared to 67.5% in the
second quarter of 2020 due primarily to revenue mix. SG&A expenses as a
percentage of revenues increased to 36.7% in the second quarter of 2021 as
compared to 36.5% in the second quarter of 2020 due primarily to higher
amortization of acquired intangibles from the acquisitions completed in 2020. As
a result, operating margin was 32.8% in the second quarter of 2021 as compared
to 30.9% in the second quarter of 2020.

Our Measurement & Analytical Solutions segment revenues increased by 9% to
$397.0 in the second quarter of 2021 as compared to $363.9 in the second quarter
of 2020. Organic revenues increased 7% and foreign exchange contributed 2% to
growth in the segment. The growth in organic revenues was primarily due to
broad-based growth in our water meter technology business, industrial
businesses, and medical products businesses excluding Verathon, which declined
due to unprecedented demand for their products used in the treatment of COVID-19
during 2020. Gross margin decreased to 58.0% in the second quarter of 2021 as
compared to 60.9% in the second quarter of 2020 due primarily to revenue mix.
SG&A expenses as a percentage of revenues decreased to 26.8% in the second
quarter of 2021 as compared to 27.1% in the second quarter of 2020 due primarily
to higher operating leverage on organic revenue growth. The resulting operating
margin was 31.2% in the second quarter of 2021 as compared to 33.8% in the
second quarter of 2020.

Our Process Technologies segment revenues increased by 16% to $140.3 in the
second quarter of 2021 as compared to $120.7 in the second quarter of 2020.
Organic revenues increased 13% and foreign exchange contributed 4%. Organic
revenues increased due to broad-based revenue growth across the segment as
energy and industrial markets began to recover from the pandemic. Gross margin
increased to 53.9% in the second quarter of 2021 as compared to 52.7% in the
second quarter of 2020 due primarily to revenue mix. SG&A expenses as a
percentage of revenues decreased to 22.5% in the second quarter of 2021 as
compared to 38.7% in the second quarter of 2020 due primarily to a $13.6
restructuring charge for structural cost reduction actions taken at certain
businesses during the second quarter of 2020 and higher operating leverage on
organic revenue growth. As a result, operating margin was 31.3% in the second
quarter of 2021 as compared to 14.0% in the second quarter of 2020.

Corporate expenses increased to $54.6, or 3.4% of revenues, in the second
quarter of 2021 as compared to $50.3, or 3.9% of revenues, in the second quarter
of 2020. The dollar increase was due primarily to higher compensation related
expenses, partially offset by lower acquisition related expenses.

Net interest expense was $59.5 for the second quarter of 2021 as compared to $47.5 for the second quarter of 2020 due to higher weighted average debt balances, partially offset by lower weighted average interest rates.



Other income, net, of $0.9 for the second quarter of 2021 was composed primarily
of royalty income. Other expense, net, of $2.0 for the second quarter of 2020
was composed primarily of foreign exchange losses at our non-U.S. based
subsidiaries.

Income taxes as a percent of pretax earnings decreased to 20.3% in the second
quarter of 2021 as compared to 22.8% in the second quarter of 2020. The rate was
favorably impacted primarily due to the recognition of a net tax benefit in
connection with an internal restructuring plan, partially offset by an
unfavorable impact due to a UK tax rate change.

Backlog is equal to our remaining performance obligations expected to be
recognized within the next 12 months as discussed in Note 11 of the Notes to
Condensed Consolidated Financial Statements. Backlog increased 30% to $2,647.6
at June 30, 2021 as compared to $2,044.3 at June 30, 2020, organic growth was
11% and acquisitions contributed 19%.
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                                             Backlog as of
                                                June 30,
                                          2021           2020
Application Software                   $ 1,392.6      $   870.3
Network Software & Systems                 828.9          832.9
Measurement & Analytical Solutions         295.5          231.4
Process Technologies                       130.6          109.7
Total                                  $ 2,647.6      $ 2,044.3

Six months ended June 30, 2021 compared to six months ended June 30, 2020



Net revenues for the six months ended June 30, 2021 increased by 17% as compared
to the six months ended June 30, 2020. Acquisitions contributed 12%, organic
revenues increased 3% and foreign exchange contributed 2%.

In our Application Software segment, revenues were $1,168.2 in the six months
ended June 30, 2021 as compared to $803.5 in the six months ended June 30, 2020,
an increase of 45%. Acquisitions contributed 38%, organic revenues increased 5%
and foreign exchange contributed 2%. The growth in organic revenues was
primarily due to businesses serving healthcare and government contracting
markets. Gross margin increased to 69.2% in the six months ended June 30, 2021
as compared to 67.7% in the six months ended June 30, 2020 due primarily to the
acquisition of Vertafore and operating leverage on higher organic revenues. SG&A
expenses increased as a percentage of revenue to 42.8% in the six months ended
June 30, 2021 as compared to 41.5% in the six months ended June 30, 2020 due
primarily to higher amortization of acquired intangibles from the Vertafore and
EPSi acquisitions, partially offset by operating leverage on higher organic
revenues. The resulting operating margin was 26.4% in the six months ended
June 30, 2021 as compared to 26.3% in the six months ended June 30, 2020.

In our Network Software & Systems segment, revenues increased by 4% to $898.9 in
the six months ended June 30, 2021 as compared to $860.2 in the six months ended
June 30, 2020. Acquisitions contributed 2%, organic revenues increased 1% and
foreign exchange contributed 1%. The increase in organic revenues was primarily
due to subscription growth at our SaaS businesses led by our businesses serving
the freight match and construction markets, partially offset by lower toll tag
volumes in our toll and traffic business. Gross margin increased to 68.8% in the
six months ended June 30, 2021 as compared to 67.2% in the six months ended
June 30, 2020 due primarily to revenue mix. SG&A expenses increased as a
percentage of revenues at 37.0% in the six months ended June 30, 2021 as
compared to 35.9% in the six months ended June 30, 2020 due primarily to revenue
mix. As a result, operating margin was 31.8% in the six months ended June 30,
2021 as compared to 31.3% in the six months ended June 30, 2020.

Our Measurement and Analytical segment revenues increased by 7% to $778.0 in the
six months ended June 30, 2021 as compared to $729.1 in the six months ended
June 30, 2020. Organic revenues increased 5% and foreign exchange contributed
2%. The growth in organic revenues was primarily due to broad-based growth led
by our industrial businesses, water meter technology business, and medical
products businesses excluding Verathon, which declined due to unprecedented
demand for their products used in the treatment of COVID-19 during 2020. Gross
margin decreased to 58.5% in the six months ended June 30, 2021 as compared to
59.8% in the six months ended June 30, 2020 due primarily to revenue mix. SG&A
expenses as a percentage of revenues decreased to 26.6% in the six months ended
June 30, 2021 as compared to 27.3% in the six months ended June 30, 2020 due
primarily to higher operating leverage on organic revenue growth. The resulting
operating margin was 31.9% in the six months ended June 30, 2021 as compared to
32.5% in the six months ended June 30, 2020.

Our Process Technologies segment revenues increased by 3% to $271.1 in the six
months ended June 30, 2021 as compared to $262.9 in the six months ended
June 30, 2020. Organic revenues were flat with foreign exchange contributing 3%
to the growth in the segment. Gross margin was flat at 54.1% in the six months
ended June 30, 2021 and June 30, 2020. SG&A expenses as a percentage of revenues
decreased to 23.7% in the six months ended June 30, 2021 as compared to 31.2% in
the six months ended June 30, 2020 due primarily to $13.6 of restructuring
charges for structural cost reduction actions taken at certain of our businesses
during the second quarter of 2020. As a result, operating margin was 30.3% in
the six months ended June 30, 2021 as compared to 22.9% in the six months ended
June 30, 2020.

Corporate expenses increased to $105.7, or 3.4% of revenues, in the six months
ended June 30, 2021 as compared to $94.7, or 3.6% of revenues, in the six months
ended June 30, 2020. The dollar increase was due primarily to higher
compensation related expenses, partially offset by lower acquisition related
expenses.

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Net interest expense was $120.1 for the six months ended June 30, 2021 as
compared to $92.9 for the six months ended June 30, 2020 due to higher weighted
average debt balances, partially offset by lower weighted average interest
rates.

Other income, net, of $27.9 for the six months ended June 30, 2021 was composed
primarily of a gain on sale of minority investment of $27.1. Other expense, net,
of $1.2 for the six months ended June 30, 2020 was composed primarily of foreign
exchange losses at our non-U.S. based subsidiaries.

Income taxes as a percent of pretax earnings decreased to 20.8% in the six
months ended June 30, 2021 as compared to 21.9% in the six months ended June 30,
2020. The rate was favorably impacted primarily due to the recognition of a net
tax benefit in connection with an internal restructuring plan, partially offset
by an unfavorable impact due to a UK tax rate change.

Financial Condition, Liquidity and Capital Resources All currency amounts are in millions



Selected cash flows for the six months ended June 30, 2021 and 2020 were as
follows:
                                     Six months ended June 30,
Cash provided by/(used in):              2021                 2020
Operating activities          $       985.1                 $ 813.0
Investing activities                  (22.2)                 (177.5)
Financing activities                 (934.6)                  532.9



Operating activities - Net cash provided by operating activities increased by
21% to $985.1 in the six months ended June 30, 2021 as compared to $813.0 in the
six months ended June 30, 2020, due primarily to (i) higher net income net of
non-cash expenses, and (ii) growth in our software businesses, which generated
cash from working capital, these increases were partially offset by higher cash
taxes due to the deferral of $137.5 of tax payments in the second quarter 2020
under the Coronavirus Aid, Relief, and Economic Security Act of 2020.

Investing activities - Cash used in investing activities during the six months ended June 30, 2021 is due primarily to capital expenditures and business acquisitions, partially offset by proceeds from the sale of a minority investment. Cash used in investing activities during the six months ended June 30, 2020 was due primarily to business acquisitions.



Financing activities - Cash used in financing activities for the six months
ended June 30, 2021 was primarily due to net repayments on our unsecured credit
facility and dividend payments, partially offset by net proceeds from stock
based compensation. Cash provided by financing activities during the six months
ended June 30, 2020 was primarily due to net proceeds from the issuance of notes
and net proceeds from stock based compensation, partially offset by dividend
payments.
Effect of foreign currency exchange rate changes on cash - Cash and cash
equivalents increased during the six months ended June 30, 2021 by $1.2 due
primarily to the weakening of the U.S. dollar against the functional currency of
our Canadian subsidiaries. Cash and cash equivalents decreased during the six
months ended June 30, 2020 by $7.3 due primarily to the strengthening of the
U.S. dollar against the functional currencies of our United Kingdom and Canadian
subsidiaries.


















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Total debt at June 30, 2021 consisted of the following:

$500 2.800% senior notes due 2021                   500.0
$500 3.125% senior notes due 2022                   500.0
$300 0.450% senior notes due 2022                   300.0
$700 3.650% senior notes due 2023                   700.0
$500 2.350% senior notes due 2024                   500.0
$300 3.850% senior notes due 2025                   300.0
$700 1.000% senior notes due 2025                   700.0
$700 3.800% senior notes due 2026                   700.0
$700 1.400% senior notes due 2027                   700.0
$800 4.200% senior notes due 2028                   800.0
$700 2.950% senior notes due 2029                   700.0
$600 2.000% senior notes due 2030                   600.0
$1,000 1.750% senior notes due 2031               1,000.0
Unsecured credit facility                           750.0
Deferred finance costs                              (54.0)
Other                                                 5.9

Total debt, net of deferred finance costs 8,701.9 Less current portion

                                502.4

Long-term debt, net of deferred finance costs $ 8,199.5





The interest rate on borrowings under our $3,000.0 unsecured credit facility is
calculated based upon various recognized indices plus a margin as defined in the
credit facility. At June 30, 2021, there were $750.0 outstanding borrowings
under our unsecured credit facility. At June 30, 2021, we had $5.9 of other debt
in the form of short term borrowings, finance leases and several smaller
facilities that allow for borrowings in various foreign locations to support our
non-U.S. businesses and $62.2 of outstanding letters of credit.

Cash at our foreign subsidiaries at June 30, 2021 increased to $316 as compared
to $259 at December 31, 2020 due primarily to the cash generated at our foreign
subsidiaries during the six months ended June 30, 2021, partially offset by the
repatriation of $185 during the six months ended June 30, 2021. We intend to
repatriate substantially all historical and future earnings.

We expect existing cash balances, together with cash generated by our operations
and amounts available under our credit facility, will be sufficient to fund our
operating requirements for the foreseeable future.

We were in compliance with all debt covenants related to our unsecured credit facility throughout the six months ended June 30, 2021.



Net working capital (total current assets, excluding cash, less total current
liabilities, excluding debt) was negative $541.8 at June 30, 2021 as compared to
negative $498.4 at December 31, 2020, reflecting a decrease in working capital
due primarily to a decrease in accounts receivable, net, and an increase in
accounts payable, partially offset by an increase in unbilled receivables.
Consistent negative net working capital demonstrates Roper's continued evolution
and focus on asset-light business models. Total debt was $8,701.9 at June 30,
2021 as compared to $9,566.5 at December 31, 2020, due primarily to the net
repayments under our unsecured credit facility. Our leverage is shown in the
following table:
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                                   June 30,        December 31,
                                     2021              2020
Total debt                       $  8,701.9       $   9,566.5
Cash                                 (337.8)           (308.3)
Net debt                            8,364.1           9,258.2
Stockholders' equity               11,089.2          10,479.8
Total net capital                $ 19,453.3       $  19,738.0

Net debt / total net capital           43.0  %           46.9  %



Capital expenditures were $17.2 for the six months ended June 30, 2021 as
compared to $15.5 for the six months ended June 30, 2020. Capitalized software
expenditures were $15.3 for the six months ended June 30, 2021 as compared to
$5.2 for the six months ended June 30, 2020. We expect the aggregate of capital
expenditures and capitalized software expenditures for the balance of the year
to be comparable to prior years as a percentage of revenues.

Off-Balance Sheet Arrangements



At June 30, 2021, we did not have any relationships with unconsolidated entities
or financial partnerships, such as entities often referred to as structured
finance or special purpose entities, which would have been established for the
purpose of facilitating off-balance sheet arrangements or other contractually
narrow or limited purposes.

Outlook

Current geopolitical and economic uncertainties could adversely affect our
business prospects. The COVID-19 pandemic has had, and may continue to have, an
adverse impact on our business. A significant terrorist attack, other global
conflict, or public health crisis could cause changes in world economies that
would adversely affect us. It is impossible to isolate each of these potential
factor's future effects on current economic conditions or any of our businesses.
It is also impossible to predict with any reasonable degree of certainty what or
when any additional events may occur that also would similarly disrupt the
economy and have an adverse impact on our businesses.

Although we maintain an active acquisition program we are currently focused on
reducing debt. Future acquisitions will be dependent on numerous factors and it
is not feasible to reasonably estimate if or when any such acquisitions will
occur and what the impact will be on our business, financial condition and
results of operations. Such acquisitions may be financed by the use of existing
credit lines, future cash flows from operations, future divestitures, the
proceeds from the issuance of new debt or equity securities or any combination
of these methods, the terms and availability of which will be subject to market
and economic conditions generally.

We anticipate that our businesses will generate positive cash flows from
operating activities, and that these cash flows will permit the reduction of
currently outstanding debt in accordance with the repayment schedule. However,
the rate at which we can reduce our debt during 2021 (and reduce the associated
interest expense) will be affected by, among other things, the financing and
operating requirements of any new acquisitions, the financial performance of our
existing companies and the impact of the COVID-19 pandemic on our business
prospects and the financial markets generally. None of these factors can be
predicted with certainty.

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