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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Segment Reporting Information [Line Items]    
Net revenues: $ 1,350.7 $ 1,287.2
Percent change in net revenues 4.90%  
Gross profit: $ 856.8 810.6
Percent change in gross profit 5.70%  
Operating profit $ 393.6 384.9
Percent change in operating profit 2.30%  
Long-lived assets: $ 193.7 179.6
Percent change in long-lived assets 7.90%  
Corporate    
Segment Reporting Information [Line Items]    
Unallocated corporate general and administrative expenses $ 44.4 38.5
Application Software    
Segment Reporting Information [Line Items]    
Net revenues: $ 405.1 381.2
Percent change in net revenues 6.30%  
Gross profit: $ 270.4 253.4
Percent change in gross profit 6.70%  
Operating profit $ 97.6 91.4
Percent change in operating profit 6.80%  
Long-lived assets: $ 85.1 82.0
Percent change in long-lived assets 3.80%  
Network Software & Systems    
Segment Reporting Information [Line Items]    
Net revenues: $ 438.2 345.7
Percent change in net revenues 26.80%  
Gross profit: $ 293.2 239.0
Percent change in gross profit 22.70%  
Operating profit $ 138.7 125.3
Percent change in operating profit 10.70%  
Long-lived assets: $ 48.5 35.4
Percent change in long-lived assets 37.00%  
Measurement & Analytical Solutions    
Segment Reporting Information [Line Items]    
Net revenues: $ 365.2 401.8
Percent change in net revenues (9.10%)  
Gross profit: $ 214.6 231.2
Percent change in gross profit (7.20%)  
Operating profit $ 114.0 118.1
Percent change in operating profit (3.50%)  
Long-lived assets: $ 39.1 40.2
Percent change in long-lived assets (2.70%)  
Process Technologies    
Segment Reporting Information [Line Items]    
Net revenues: $ 142.2 158.5
Percent change in net revenues (10.30%)  
Gross profit: $ 78.6 87.0
Percent change in gross profit (9.70%)  
Operating profit $ 43.3 50.1
Percent change in operating profit (13.60%)  
Long-lived assets: $ 21.0 $ 22.0
Percent change in long-lived assets (4.50%)