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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
Segment Reporting Information [Line Items]        
Net revenues: $ 1,531.2 $ 1,310.8 $ 3,000.9 $ 2,590.6
Percent change in net revenues 16.80%   15.80%  
Gross profit: $ 1,067.1 911.5 $ 2,085.7 1,808.7
Percent change in gross profit 17.10%   15.30%  
Operating profit $ 493.4 413.8 $ 949.6 822.6
Percent change in operating profit 19.20%   15.40%  
Long-lived assets: $ 220.4 190.8 $ 220.4 190.8
Percent change in long-lived assets 15.50%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 58.1 50.9 113.3 103.8
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 770.3 627.5 $ 1,531.7 1,255.7
Percent change in net revenues 22.80%   22.00%  
Gross profit: $ 531.0 430.9 $ 1,051.5 866.3
Percent change in gross profit 23.20%   21.40%  
Operating profit $ 201.2 165.3 $ 394.4 337.6
Percent change in operating profit 21.70%   16.80%  
Long-lived assets: $ 161.9 136.6 $ 161.9 136.6
Percent change in long-lived assets 18.50%      
Network Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 358.1 342.9 $ 712.6 681.4
Percent change in net revenues 4.40%   4.60%  
Gross profit: $ 303.9 289.1 $ 603.3 574.0
Percent change in gross profit 5.10%   5.10%  
Operating profit $ 153.1 137.1 $ 300.6 273.9
Percent change in operating profit 11.70%   9.70%  
Long-lived assets: $ 28.7 27.1 $ 28.7 27.1
Percent change in long-lived assets 5.90%      
Technology Enabled Products        
Segment Reporting Information [Line Items]        
Net revenues: $ 402.8 340.4 $ 756.6 653.5
Percent change in net revenues 18.30%   15.80%  
Gross profit: $ 232.2 191.5 $ 430.9 368.4
Percent change in gross profit 21.30%   17.00%  
Operating profit $ 139.1 111.4 $ 254.6 211.1
Percent change in operating profit 24.90%   20.60%  
Long-lived assets: $ 29.8 $ 27.1 $ 29.8 $ 27.1
Percent change in long-lived assets 10.00%