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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Segment Reporting Information [Line Items]        
Net revenues: $ 1,563.4 $ 1,350.3 $ 4,564.3 $ 3,940.9
Percent change in net revenues 15.80%   15.80%  
Gross profit: $ 1,096.3 941.8 $ 3,182.0 2,750.5
Percent change in gross profit 16.40%   15.70%  
Operating profit $ 508.4 448.4 $ 1,458.0 1,271.0
Percent change in operating profit 13.40%   14.70%  
Long-lived assets: $ 233.4 199.6 $ 233.4 199.6
Percent change in long-lived assets 16.90%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 62.3 55.2 175.6 159.0
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 803.4 644.0 $ 2,335.1 1,899.7
Percent change in net revenues 24.80%   22.90%  
Gross profit: $ 557.7 440.2 $ 1,609.2 1,306.5
Percent change in gross profit 26.70%   23.20%  
Operating profit $ 206.9 173.8 $ 601.3 511.4
Percent change in operating profit 19.00%   17.60%  
Long-lived assets: $ 176.0 145.1 $ 176.0 145.1
Percent change in long-lived assets 21.30%      
Network Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 364.1 346.6 $ 1,076.7 1,028.0
Percent change in net revenues 5.00%   4.70%  
Gross profit: $ 310.7 293.9 $ 914.0 867.9
Percent change in gross profit 5.70%   5.30%  
Operating profit $ 164.4 148.1 $ 465.0 422.0
Percent change in operating profit 11.00%   10.20%  
Long-lived assets: $ 26.7 27.6 $ 26.7 27.6
Percent change in long-lived assets (3.30%)      
Technology Enabled Products        
Segment Reporting Information [Line Items]        
Net revenues: $ 395.9 359.7 $ 1,152.5 1,013.2
Percent change in net revenues 10.10%   13.70%  
Gross profit: $ 227.9 207.7 $ 658.8 576.1
Percent change in gross profit 9.70%   14.40%  
Operating profit $ 137.1 126.5 $ 391.7 337.6
Percent change in operating profit 8.40%   16.00%  
Long-lived assets: $ 30.7 $ 26.9 $ 30.7 $ 26.9
Percent change in long-lived assets 14.10%