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Business Segments (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Segment Reporting Information [Line Items]        
Net revenues: $ 1,462.8 $ 1,198.2 $ 4,265.5 $ 3,518.6
Percent change in net revenues 22.10%   21.20%  
Gross profit: $ 996.1 809.9 $ 2,899.4 2,369.9
Percent change in gross profit 23.00%   22.30%  
Operating profit $ 455.0 375.6 $ 1,315.0 1,068.0
Percent change in operating profit 21.10%   23.10%  
Long-lived assets: $ 202.5 197.3 $ 202.5 197.3
Percent change in long-lived assets 2.60%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 51.5 45.1 155.4 137.5
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 603.4 447.9 $ 1,771.6 1,251.4
Percent change in net revenues 34.70%   41.60%  
Gross profit: $ 420.2 307.6 $ 1,228.2 851.8
Percent change in gross profit 36.60%   44.20%  
Operating profit $ 164.6 125.6 $ 472.5 336.6
Percent change in operating profit 31.10%   40.40%  
Long-lived assets: $ 129.8 114.1 $ 129.8 114.1
Percent change in long-lived assets 13.80%      
Network Software & Systems        
Segment Reporting Information [Line Items]        
Net revenues: $ 343.4 288.1 $ 983.3 864.0
Percent change in net revenues 19.20%   13.80%  
Gross profit: $ 284.3 235.1 $ 807.9 701.1
Percent change in gross profit 20.90%   15.20%  
Operating profit $ 134.4 102.3 $ 368.4 298.3
Percent change in operating profit 31.40%   23.50%  
Long-lived assets: $ 27.4 28.8 $ 27.4 28.8
Percent change in long-lived assets (4.90%)      
Measurement & Analytical Solutions        
Segment Reporting Information [Line Items]        
Net revenues: $ 392.4 356.9 $ 1,146.8 1,065.3
Percent change in net revenues 9.90%   7.70%  
Gross profit: $ 224.0 212.1 $ 665.7 636.5
Percent change in gross profit 5.60%   4.60%  
Operating profit $ 119.0 119.7 $ 361.6 352.4
Percent change in operating profit (0.60%)   2.60%  
Long-lived assets: $ 30.9 35.4 $ 30.9 35.4
Percent change in long-lived assets (12.70%)      
Process Technologies        
Segment Reporting Information [Line Items]        
Net revenues: $ 123.6 105.3 $ 363.8 337.9
Percent change in net revenues 17.40%   7.70%  
Gross profit: $ 67.6 55.1 $ 197.6 180.5
Percent change in gross profit 22.70%   9.50%  
Operating profit $ 37.0 28.0 $ 112.5 80.7
Percent change in operating profit 32.10%   39.40%  
Long-lived assets: $ 14.4 $ 19.0 $ 14.4 $ 19.0
Percent change in long-lived assets (24.20%)