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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Segment Reporting Information [Line Items]    
Net revenues: $ 1,287.2 $ 1,202.5
Percent change in net sales 7.00%  
Gross profit $ 810.6 750.5
Percent change in gross profit 8.00%  
Operating profit $ 384.9 341.9
Percent change in operating profit 12.60%  
Long-lived assets $ 179.6 176.1
Percent change in long-lived assets 2.00%  
Operating Segments | Application Software    
Segment Reporting Information [Line Items]    
Net revenues: $ 381.2 323.9
Percent change in net sales 17.70%  
Gross profit $ 253.4 213.9
Percent change in gross profit 18.50%  
Operating profit $ 91.4 70.2
Percent change in operating profit 30.20%  
Long-lived assets $ 82.0 71.7
Percent change in long-lived assets 14.40%  
Operating Segments | Network Software & Systems    
Segment Reporting Information [Line Items]    
Net revenues: $ 345.7 313.9
Percent change in net sales 10.10%  
Gross profit $ 239.0 212.7
Percent change in gross profit 12.40%  
Operating profit $ 125.3 106.0
Percent change in operating profit 18.20%  
Long-lived assets $ 35.4 39.7
Percent change in long-lived assets (10.80%)  
Operating Segments | Measurement & Analytical Solutions    
Segment Reporting Information [Line Items]    
Net revenues: $ 401.8 404.0
Percent change in net sales (0.50%)  
Gross profit $ 231.2 234.0
Percent change in gross profit (1.20%)  
Operating profit $ 118.1 115.4
Percent change in operating profit 2.30%  
Long-lived assets $ 40.2 43.6
Percent change in long-lived assets (7.80%)  
Operating Segments | Process Technologies    
Segment Reporting Information [Line Items]    
Net revenues: $ 158.5 160.7
Percent change in net sales (1.40%)  
Gross profit $ 87.0 89.9
Percent change in gross profit (3.20%)  
Operating profit $ 50.1 50.3
Percent change in operating profit (0.40%)  
Long-lived assets $ 22.0 21.1
Percent change in long-lived assets 4.30%  
Corporate    
Segment Reporting Information [Line Items]    
Unallocated corporate general and administrative expenses $ 38.5 $ 41.7