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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