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Reportable Segments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Dec. 31, 2024
Segment Reporting Information [Line Items]          
Net revenues $ 2,017.5 $ 1,764.6 $ 5,843.9 $ 5,162.1  
Cost of sales 614.5 542.9 1,801.8 1,566.1  
SG&A expenses 830.0 725.1 2,395.0 2,123.9  
Capital expenditures     37.6 39.2  
Application Software          
Segment Reporting Information [Line Items]          
Net revenues 1,161.0 984.4 3,324.1 2,811.4  
Network Software          
Segment Reporting Information [Line Items]          
Net revenues 413.4 367.1 1,174.7 1,102.1  
Technology Enabled Products          
Segment Reporting Information [Line Items]          
Net revenues 443.1 413.1 1,345.1 1,248.6  
Operating Segments          
Segment Reporting Information [Line Items]          
Net revenues 2,017.5 1,764.6 5,843.9 5,162.1  
Cost of sales 614.5 542.9 1,801.8 1,566.1  
SG&A expenses 751.7 654.8 2,165.7 1,929.4  
Operating profit 651.3 566.9 1,876.4 1,666.6  
Depreciation and other amortization 230.2 205.7 665.4 600.8  
Capital expenditures 9.4 8.1 33.9 23.2  
Capitalized software expenditures 16.0 12.9 42.8 33.4  
Total assets: 33,791.2   33,791.2   $ 30,447.0
Operating Segments | Application Software          
Segment Reporting Information [Line Items]          
Net revenues 1,161.0 984.4 3,324.1 2,811.4  
Cost of sales 360.0 311.6 1,049.0 871.8  
SG&A expenses 478.0 413.0 1,380.7 1,189.1  
Operating profit 323.0 259.8 894.4 750.5  
Depreciation and other amortization 180.5 160.3 521.8 463.2  
Capital expenditures 4.6 3.9 18.5 11.9  
Capitalized software expenditures 16.0 12.4 42.8 32.4  
Total assets: 25,495.2   25,495.2   23,600.9
Operating Segments | Network Software          
Segment Reporting Information [Line Items]          
Net revenues 413.4 367.1 1,174.7 1,102.1  
Cost of sales 66.5 55.3 191.4 166.2  
SG&A expenses 168.8 145.8 469.2 443.8  
Operating profit 178.1 166.0 514.1 492.1  
Depreciation and other amortization 43.8 40.3 126.4 120.9  
Capital expenditures 2.5 1.7 7.1 4.0  
Capitalized software expenditures 0.0 0.5 0.0 1.0  
Total assets: 6,518.2   6,518.2   5,348.0
Operating Segments | Technology Enabled Products          
Segment Reporting Information [Line Items]          
Net revenues 443.1 413.1 1,345.1 1,248.6  
Cost of sales 188.0 176.0 561.4 528.1  
SG&A expenses 104.9 96.0 315.8 296.5  
Operating profit 150.2 141.1 467.9 424.0  
Depreciation and other amortization 5.9 5.1 17.2 16.7  
Capital expenditures 2.3 2.5 8.3 7.3  
Capitalized software expenditures 0.0 0.0 0.0 0.0  
Total assets: 1,777.8   1,777.8   $ 1,498.1
Corporate          
Segment Reporting Information [Line Items]          
Unallocated corporate general and administrative expenses $ 78.3 $ 70.3 $ 229.3 $ 194.5