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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Segment Reporting Information [Line Items]        
Net revenues: $ 1,310.8 $ 1,189.8 $ 2,590.6 $ 2,345.1
Percent change in net revenues 10.20%   10.50%  
Gross profit: $ 911.5 839.2 $ 1,808.7 1,655.5
Percent change in gross profit 8.60%   9.30%  
Operating profit $ 413.8 367.0 $ 822.6 731.7
Percent change in operating profit 12.80%   12.40%  
Long-lived assets: $ 190.8 180.9 $ 190.8 180.9
Percent change in long-lived assets 5.50%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 50.9 50.8 103.8 97.9
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 627.5 587.9 $ 1,255.7 1,161.0
Percent change in net revenues 6.70%   8.20%  
Gross profit: $ 430.9 407.3 $ 866.3 804.5
Percent change in gross profit 5.80%   7.70%  
Operating profit $ 165.3 153.5 $ 337.6 307.0
Percent change in operating profit 7.70%   10.00%  
Long-lived assets: $ 136.6 127.9 $ 136.6 127.9
Percent change in long-lived assets 6.80%      
Network Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 342.9 297.8 $ 681.4 585.3
Percent change in net revenues 15.10%   16.40%  
Gross profit: $ 289.1 250.1 $ 574.0 489.6
Percent change in gross profit 15.60%   17.20%  
Operating profit $ 137.1 111.2 $ 273.9 216.8
Percent change in operating profit 23.30%   26.30%  
Long-lived assets: $ 27.1 25.3 $ 27.1 25.3
Percent change in long-lived assets 7.10%      
Technology Enabled Products        
Segment Reporting Information [Line Items]        
Net revenues: $ 340.4 304.1 $ 653.5 598.8
Percent change in net revenues 11.90%   9.10%  
Gross profit: $ 191.5 181.8 $ 368.4 361.4
Percent change in gross profit 5.30%   1.90%  
Operating profit $ 111.4 102.3 $ 211.1 207.9
Percent change in operating profit 8.90%   1.50%  
Long-lived assets: $ 27.1 $ 27.7 $ 27.1 $ 27.7
Percent change in long-lived assets (2.20%)