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Business Acquisitions and Dispositions (Details) $ in Millions |  |  |  |  | 3 Months Ended | 4 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | --- | --- | --- | ---
Oct. 04, 2022 USD ($) | Dec. 30, 2021 USD ($) acquisition | Mar. 17, 2021 USD ($) | Sep. 03, 2020 USD ($) | Sep. 30, 2022 USD ($) | Dec. 31, 2020 USD ($) | Sep. 30, 2021 acquisition | Dec. 31, 2022 USD ($) acquisition | Dec. 31, 2021 USD ($) acquisition | Dec. 31, 2020 USD ($) acquisition
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Number of businesses acquired | acquisition |  | 7 |  |  |  |  | 4 | 7 | 7 |
Goodwill |  | $ 138.8 |  |  |  | $ 13,338.4 |  | $ 15,946.1 | $ 13,476.3 | $ 13,338.4
Other identifiable intangibles |  | 104.9 |  |  |  |  |  |  |  |
Sedaru, Inc |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Proceeds from sale of equity method investments |  |  | $ 27.1 |  |  |  |  |  |  |
Equity method investment, realized gain (loss) on disposal |  |  | 27.1 |  |  |  |  |  |  |
Sedaru, Inc | Disposal group, disposed of by sale, not discontinued operations | Gatan |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Income tax expense in connection with sale |  |  | $ 5.5 |  |  |  |  |  |  |
Customer related intangibles |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  | $ 94.6 |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets (in years) |  | 12 years 10 months 24 days |  |  |  |  |  |  |  |
Technology |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  | $ 10.3 |  |  |  |  |  |  |  |
Weighted average useful life of finite-lived intangible assets (in years) |  | 5 years 3 months 18 days |  |  |  |  |  |  |  |
Frontline Technologies Parent LLC |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Aggregate purchase price | $ 3,738.0 |  |  |  |  |  |  |  |  |
Enterprise value, adjusted for cash and the settlement of liabilities, net of tax benefit |  |  |  |  |  |  |  | 3,725.0 |  |
Business combination, consideration tax benefit | $ 350.0 |  |  |  |  |  |  |  |  |
Business combination, consideration tax benefit utilized over period | 15 years |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  |  |  |  | 2,197.6 |  |
Other identifiable intangibles |  |  |  |  |  |  |  | 1,918.6 |  |
Amortizable intangible assets |  |  |  |  |  |  |  | 1,835.6 |  |
Deferred tax assets (liabilities), net |  |  |  |  |  |  |  | 258.0 |  |
Deferred tax liabilities |  |  |  |  |  |  |  | 181.0 |  |
Goodwill, expected tax deductible amount |  |  |  |  |  |  |  | 1,100.0 |  |
Frontline Technologies Parent LLC | Trade names |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  |  |  |  | 83.0 |  |
Frontline Technologies Parent LLC | Customer related intangibles |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  |  |  |  | $ 1,757.0 |  |
Weighted average useful life of finite-lived intangible assets (in years) |  |  |  |  |  |  |  | 20 years |  |
Frontline Technologies Parent LLC | Technology |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  |  |  |  | $ 78.6 |  |
Weighted average useful life of finite-lived intangible assets (in years) |  |  |  |  |  |  |  | 5 years |  |
Other acquisitions |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Number of businesses acquired | acquisition |  |  |  |  |  |  |  | 6 |  | 5
Aggregate purchase price |  |  |  |  |  |  |  |  | 225.9 |
Goodwill |  |  |  |  |  | 303.9 |  |  |  | $ 303.9
Deferred tax liabilities |  |  |  |  |  | 612.8 |  | $ 578.8 |  | 612.8
Other acquisitions | Trade names |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  |  | 313.0 |  |  |  | 313.0
Other acquisitions | Customer related intangibles |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  |  | 283.7 |  |  |  | $ 283.7
Weighted average useful life of finite-lived intangible assets (in years) |  |  |  |  |  |  |  |  |  | 16 years
Other acquisitions | Technology |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  |  | 29.3 |  |  |  | $ 29.3
Weighted average useful life of finite-lived intangible assets (in years) |  |  |  |  |  |  |  |  |  | 5 years
T I P Technologies Inc And Common Sense Solutions Inc |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Goodwill |  |  |  |  | $ 361.5 |  |  |  |  |
Other identifiable intangibles |  |  |  |  | 239.3 |  |  |  |  |
T I P Technologies Inc And Common Sense Solutions Inc | Trade names |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  | 9.5 |  |  |  |  |
T I P Technologies Inc And Common Sense Solutions Inc | Customer related intangibles |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  | $ 223.4 |  |  |  |  |
Weighted average useful life of finite-lived intangible assets (in years) |  |  |  |  | 18 years 2 months 12 days |  |  |  |  |
T I P Technologies Inc And Common Sense Solutions Inc | Technology |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  | $ 15.9 |  |  |  |  |
Weighted average useful life of finite-lived intangible assets (in years) |  |  |  |  | 4 years 10 months 24 days |  |  |  |  |
American LegalNet Inc |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired (as a percent) |  | 100.00% |  |  |  |  |  |  |  |
Vertafore |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Aggregate purchase price |  |  |  | $ 5,398.6 |  |  |  |  |  |
Goodwill |  |  |  | 3,229.1 |  |  |  |  |  |
Other identifiable intangibles |  |  |  | 2,660.0 |  | 2,540.0 |  |  |  | $ 2,540.0
Deferred tax assets (liabilities), net |  |  |  | 489.0 |  |  |  |  | $ 120.0 |
Deferred tax liabilities |  |  |  | $ 638.0 |  |  |  |  |  |
Percentage of voting interests acquired (as a percent) |  |  |  | 100.00% |  |  |  |  |  |
Business acquisition, enterprise value |  |  |  | $ 5,335.0 |  |  |  |  |  |
Purchase price |  |  |  | 120.0 |  |  |  |  |  |
Vertafore | Trade names |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  | $ 120.0 |  |  |  |  |  |
Vertafore | Customer related intangibles |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  |  | $ 2,230.0 |  |  |  | 2,230.0
Weighted average useful life of finite-lived intangible assets (in years) |  |  |  |  |  | 17 years |  |  |  |
Vertafore | Technology |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Other identifiable intangibles |  |  |  |  |  | $ 310.0 |  |  |  | $ 310.0
Weighted average useful life of finite-lived intangible assets (in years) |  |  |  |  |  | 8 years |  |  |  |

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