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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Segment Reporting Information [Line Items]    
Net revenues: $ 1,526.6 $ 1,376.1
Percent change in net revenues 10.90%  
Gross profit: $ 1,030.1 936.0
Percent change in gross profit 10.10%  
Operating profit $ 476.9 424.4
Percent change in operating profit 12.40%  
Long-lived assets: $ 210.1 206.7
Percent change in long-lived assets 1.60%  
Corporate    
Segment Reporting Information [Line Items]    
Unallocated corporate general and administrative expenses $ 55.8 49.8
Application Software    
Segment Reporting Information [Line Items]    
Net revenues: $ 631.5 576.6
Percent change in net revenues 9.50%  
Gross profit: $ 437.8 398.7
Percent change in gross profit 9.80%  
Operating profit $ 173.8 153.7
Percent change in operating profit 13.10%  
Long-lived assets: $ 135.8 126.7
Percent change in long-lived assets 7.20%  
Network Software & Systems    
Segment Reporting Information [Line Items]    
Net revenues: $ 368.7 314.2
Percent change in net revenues 17.30%  
Gross profit: $ 302.4 256.4
Percent change in gross profit 17.90%  
Operating profit $ 145.4 114.1
Percent change in operating profit 27.40%  
Long-lived assets: $ 28.5 27.8
Percent change in long-lived assets 2.50%  
Measurement & Analytical Solutions    
Segment Reporting Information [Line Items]    
Net revenues: $ 392.4 369.6
Percent change in net revenues 6.20%  
Gross profit: $ 217.6 218.2
Percent change in gross profit (0.30%)  
Operating profit $ 115.9 121.5
Percent change in operating profit (4.60%)  
Long-lived assets: $ 32.5 33.9
Percent change in long-lived assets (4.10%)  
Process Technologies    
Segment Reporting Information [Line Items]    
Net revenues: $ 134.0 115.7
Percent change in net revenues 15.80%  
Gross profit: $ 72.3 62.7
Percent change in gross profit 15.30%  
Operating profit $ 41.8 35.1
Percent change in operating profit 19.10%  
Long-lived assets: $ 13.3 $ 18.3
Percent change in long-lived assets (27.30%)