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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Segment Reporting Information [Line Items]    
Net revenues: $ 1,469.7 $ 1,279.8
Percent change in net revenues 14.80%  
Gross profit: $ 1,018.6 897.2
Percent change in gross profit 13.50%  
Operating profit $ 456.2 408.8
Percent change in operating profit 11.60%  
Long-lived assets: $ 213.2 189.0
Percent change in long-lived assets 12.80%  
Corporate    
Segment Reporting Information [Line Items]    
Unallocated corporate general and administrative expenses $ 55.2 52.9
Application Software    
Segment Reporting Information [Line Items]    
Net revenues: $ 761.4 628.2
Percent change in net revenues 21.20%  
Gross profit: $ 520.5 435.4
Percent change in gross profit 19.50%  
Operating profit $ 193.2 172.3
Percent change in operating profit 12.10%  
Long-lived assets: $ 153.3 135.8
Percent change in long-lived assets 12.90%  
Network Software    
Segment Reporting Information [Line Items]    
Net revenues: $ 354.5 338.5
Percent change in net revenues 4.70%  
Gross profit: $ 299.4 284.9
Percent change in gross profit 5.10%  
Operating profit $ 147.5 136.8
Percent change in operating profit 7.80%  
Long-lived assets: $ 30.7 26.2
Percent change in long-lived assets 17.20%  
Technology Enabled Products    
Segment Reporting Information [Line Items]    
Net revenues: $ 353.8 313.1
Percent change in net revenues 13.00%  
Gross profit: $ 198.7 176.9
Percent change in gross profit 12.30%  
Operating profit $ 115.5 99.7
Percent change in operating profit 15.80%  
Long-lived assets: $ 29.2 $ 27.0
Percent change in long-lived assets 8.10%