Business Acquisitions and Dispositions (Details) $ in Millions										3 Months Ended	9 Months Ended	12 Months Ended
	Jan. 22, 2024 USD ($)	Dec. 26, 2023 USD ($)	Aug. 21, 2023 USD ($)	Aug. 07, 2023 USD ($)	Aug. 04, 2023 USD ($)	May 02, 2023 USD ($)	Oct. 04, 2022 USD ($)	Dec. 30, 2021 USD ($) acquisition	Mar. 17, 2021 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 acquisition	Dec. 31, 2023 USD ($) acquisition	Dec. 31, 2022 USD ($) acquisition	Dec. 31, 2021 USD ($) acquisition
Business Acquisition [Line Items]
Number of businesses acquired | acquisition								7			4	4	7	7
Goodwill								$ 138.8				$ 17,118.8	$ 15,946.1	$ 13,476.3
Other identifiable intangibles								$ 104.9
Cash paid, net of cash acquired												2,052.7	$ 4,280.1	217.0
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]
Weighted average useful life of finite-lived intangible assets (in years)								12 years 10 months 24 days
Other identifiable intangibles								$ 94.6
Technology
Business Acquisition [Line Items]
Weighted average useful life of finite-lived intangible assets (in years)								5 years 3 months 18 days
Other identifiable intangibles								$ 10.3
Syntellis Performance Solutions, LLC
Business Acquisition [Line Items]
Aggregate purchase price				$ 1,381.0
Purchase price				$ 135.0
Weighted average useful life of finite-lived intangible assets (in years)				15 years
Goodwill				$ 859.0
Other identifiable intangibles				594.0
Syntellis Performance Solutions, LLC | Trade names
Business Acquisition [Line Items]
Indefinite-lived intangible assets				$ 17.0
Syntellis Performance Solutions, LLC | Customer related intangibles
Business Acquisition [Line Items]
Weighted average useful life of finite-lived intangible assets (in years)				20 years
Other identifiable intangibles				$ 529.0
Syntellis Performance Solutions, LLC | Technology
Business Acquisition [Line Items]
Weighted average useful life of finite-lived intangible assets (in years)				7 years
Other identifiable intangibles				$ 65.0
Promium, LLC
Business Acquisition [Line Items]
Aggregate purchase price						$ 16.5
Goodwill												330.6
Other identifiable intangibles												229.1
Promium, LLC | Trade names
Business Acquisition [Line Items]
Indefinite-lived intangible assets												$ 15.4
Promium, LLC | Customer related intangibles
Business Acquisition [Line Items]
Weighted average useful life of finite-lived intangible assets (in years)												16 years 10 months 24 days
Other identifiable intangibles												$ 209.4
Promium, LLC | Technology
Business Acquisition [Line Items]
Weighted average useful life of finite-lived intangible assets (in years)												5 years
Other identifiable intangibles												$ 19.7
Replicon Inc.
Business Acquisition [Line Items]
Aggregate purchase price			$ 447.5
Purchase price			$ 80.0
Weighted average useful life of finite-lived intangible assets (in years)			15 years
Executive Business Services, Inc. (“ProPricer”)
Business Acquisition [Line Items]
Aggregate purchase price		$ 79.5
Certinia Inc.
Business Acquisition [Line Items]
Cash paid, net of cash acquired					$ 125.0							119.8
Certinia Inc. | Certinia Inc.
Business Acquisition [Line Items]
Equity method investment, ownership percentage					18.20%
Genesis Ultimate Holding Co. | Subsequent event
Business Acquisition [Line Items]
Aggregate purchase price	$ 1,860.0
Purchase price	$ 110.0
Frontline Technologies Parent LLC
Business Acquisition [Line Items]
Aggregate purchase price							$ 3,738.0
Purchase price							350.0					500.0
Goodwill							2,197.6
Other identifiable intangibles							$ 1,918.6
Deferred tax liabilities												122.0
Enterprise value, adjusted for cash and the settlement of liabilities, net of tax benefit												3,725.0
Business combination, consideration tax benefit utilized over period							15 years
Amortizable intangible assets							$ 1,835.6
Deferred tax assets (liabilities), net												258.0
Goodwill, expected tax deductible amount												$ 1,200.0
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]
Weighted average useful life of finite-lived intangible assets (in years)							20 years
Other identifiable intangibles							$ 1,757.0
Frontline Technologies Parent LLC | Technology
Business Acquisition [Line Items]
Weighted average useful life of finite-lived intangible assets (in years)							5 years
Other identifiable intangibles							$ 78.6
Other acquisitions
Business Acquisition [Line Items]
Number of businesses acquired | acquisition												3	6
Aggregate purchase price														$ 225.9
Deferred tax liabilities													$ 578.8
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]
Weighted average useful life of finite-lived intangible assets (in years)										18 years 2 months 12 days
Other identifiable intangibles										$ 223.4
T I P Technologies Inc And Common Sense Solutions Inc | Technology
Business Acquisition [Line Items]
Weighted average useful life of finite-lived intangible assets (in years)										4 years 10 months 24 days
Other identifiable intangibles										$ 15.9
American LegalNet Inc
Business Acquisition [Line Items]
Percentage of voting interests acquired (as a percent)								100.00%