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Segment Information - Schedule of Other Selected Segment Financial Information and Supplemental Geographic and Disaggregated Revenue Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Jun. 30, 2024
Mar. 31, 2024
Dec. 31, 2023
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2022
Revenues from External Customers and Long-Lived Assets [Line Items]                    
Depreciation and amortization $ 144.8 $ 146.7 $ 430.1 $ 437.1            
Capital expenditures: 1.7 1.1 3.8 3.7            
Additions to computer software and other intangibles: 44.3 34.3 153.7 126.2            
Assets: 9,004.9   9,004.9       $ 9,135.9      
Goodwill: 3,447.5 3,413.9 3,447.5 3,413.9 $ 3,426.6 $ 3,424.7 3,445.8 $ 3,422.4 $ 3,435.7 $ 3,431.3
Other intangibles: 3,629.4 3,998.4 3,629.4 3,998.4 $ 3,709.6 $ 3,805.2 3,915.9 $ 4,113.3 $ 4,218.6 $ 4,320.1
Other long-lived assets: 1,200.5   1,200.5       1,100.7      
Total long-lived assets 8,277.4   8,277.4       8,462.4      
Deferred income tax 17.3   17.3       17.2      
Operating Segments                    
Revenues from External Customers and Long-Lived Assets [Line Items]                    
Depreciation and amortization 35.2 29.4 98.8 82.1            
Capital expenditures: 1.6 1.1 3.7 3.2            
Additions to computer software and other intangibles: 43.6 22.4 139.5 105.6            
Corporate and other                    
Revenues from External Customers and Long-Lived Assets [Line Items]                    
Depreciation and amortization 109.6 117.3 331.3 355.0            
Capital expenditures: 0.1 0.0 0.1 0.5            
Additions to computer software and other intangibles: 0.7 11.9 14.2 20.6            
North America                    
Revenues from External Customers and Long-Lived Assets [Line Items]                    
Assets: 7,404.9   7,404.9       7,643.3      
Goodwill: 2,929.6   2,929.6       2,929.6      
Other intangibles: 3,205.3   3,205.3       3,451.5      
Other long-lived assets: 970.1   970.1       891.6      
North America | Operating Segments                    
Revenues from External Customers and Long-Lived Assets [Line Items]                    
Depreciation and amortization 28.4 24.3 80.1 66.8            
Capital expenditures: 0.2 0.5 0.9 1.9            
Additions to computer software and other intangibles: 36.9 16.4 117.4 85.1            
International                    
Revenues from External Customers and Long-Lived Assets [Line Items]                    
Assets: 1,600.0   1,600.0       1,492.6      
Goodwill: 517.9   517.9       516.2      
Other intangibles: 424.1   424.1       464.4      
Other long-lived assets: 230.4   230.4       $ 209.1      
International | Operating Segments                    
Revenues from External Customers and Long-Lived Assets [Line Items]                    
Depreciation and amortization 6.8 5.1 18.7 15.3            
Capital expenditures: 1.4 0.6 2.8 1.3            
Additions to computer software and other intangibles: $ 6.7 $ 6.0 $ 22.1 $ 20.5