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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Segment Reporting Information [Line Items]        
Net revenues: $ 1,350.3 $ 1,232.1 $ 3,940.9 $ 3,577.2
Percent change in net revenues 9.60%   10.20%  
Gross profit: $ 941.8 871.7 $ 2,750.5 2,527.2
Percent change in gross profit 8.00%   8.80%  
Operating profit $ 448.4 394.8 $ 1,271.0 1,126.5
Percent change in operating profit 13.60%   12.80%  
Long-lived assets: $ 199.6 181.0 $ 199.6 181.0
Percent change in long-lived assets 10.30%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 55.2 47.9 159.0 145.8
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 644.0 600.2 $ 1,899.7 1,761.2
Percent change in net revenues 7.30%   7.90%  
Gross profit: $ 440.2 418.5 $ 1,306.5 1,223.0
Percent change in gross profit 5.20%   6.80%  
Operating profit $ 173.8 164.2 $ 511.4 471.2
Percent change in operating profit 5.80%   8.50%  
Long-lived assets: $ 145.1 129.8 $ 145.1 129.8
Percent change in long-lived assets 11.80%      
Network Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 346.6 316.0 $ 1,028.0 901.3
Percent change in net revenues 9.70%   14.10%  
Gross profit: $ 293.9 267.5 $ 867.9 757.1
Percent change in gross profit 9.90%   14.60%  
Operating profit $ 148.1 126.5 $ 422.0 343.3
Percent change in operating profit 17.10%   22.90%  
Long-lived assets: $ 27.6 25.0 $ 27.6 25.0
Percent change in long-lived assets 10.40%      
Technology Enabled Products        
Segment Reporting Information [Line Items]        
Net revenues: $ 359.7 315.9 $ 1,013.2 914.7
Percent change in net revenues 13.90%   10.80%  
Gross profit: $ 207.7 185.7 $ 576.1 547.1
Percent change in gross profit 11.80%   5.30%  
Operating profit $ 126.5 104.1 $ 337.6 312.0
Percent change in operating profit 21.50%   8.20%  
Long-lived assets: $ 26.9 $ 26.2 $ 26.9 $ 26.2
Percent change in long-lived assets 2.70%