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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Segment Reporting Information [Line Items]        
Net revenues: $ 1,764.6 $ 1,563.4 $ 5,162.1 $ 4,564.3
Percent change in net revenues 12.90%   13.10%  
Gross profit: $ 1,221.7 1,096.3 $ 3,596.0 3,182.0
Percent change in gross profit 11.40%   13.00%  
Operating profit $ 566.9 508.4 $ 1,666.6 1,458.0
Percent change in operating profit 11.50%   14.30%  
Long-lived assets: $ 253.8 233.4 $ 253.8 233.4
Percent change in long-lived assets 8.70%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 70.3 62.3 194.5 175.6
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 984.4 803.4 $ 2,811.4 2,335.1
Percent change in net revenues 22.50%   20.40%  
Gross profit: $ 672.8 557.7 $ 1,939.6 1,609.2
Percent change in gross profit 20.60%   20.50%  
Operating profit $ 259.8 206.9 $ 750.5 601.3
Percent change in operating profit 25.60%   24.80%  
Long-lived assets: $ 197.0 176.0 $ 197.0 176.0
Percent change in long-lived assets 11.90%      
Network Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 367.1 364.1 $ 1,102.1 1,076.7
Percent change in net revenues 0.80%   2.40%  
Gross profit: $ 311.8 310.7 $ 935.9 914.0
Percent change in gross profit 0.40%   2.40%  
Operating profit $ 166.0 164.4 $ 492.1 465.0
Percent change in operating profit 1.00%   5.80%  
Long-lived assets: $ 23.2 26.7 $ 23.2 26.7
Percent change in long-lived assets (13.10%)      
Technology Enabled Products        
Segment Reporting Information [Line Items]        
Net revenues: $ 413.1 395.9 $ 1,248.6 1,152.5
Percent change in net revenues 4.30%   8.30%  
Gross profit: $ 237.1 227.9 $ 720.5 658.8
Percent change in gross profit 4.00%   9.40%  
Operating profit $ 141.1 137.1 $ 424.0 391.7
Percent change in operating profit 2.90%   8.20%  
Long-lived assets: $ 33.6 $ 30.7 $ 33.6 $ 30.7
Percent change in long-lived assets 9.40%