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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Segment Reporting Information [Line Items]        
Net revenues: $ 1,330.3 $ 1,293.7 $ 2,617.5 $ 2,496.2
Percent change in net sales 2.80%   4.90%  
Gross profit $ 850.0 815.9 $ 1,660.6 1,566.4
Percent change in gross profit 4.20%   6.00%  
Operating profit $ 415.1 399.2 $ 800.0 741.1
Percent change in operating profit 4.00%   7.90%  
Long-lived assets $ 185.4 179.7 $ 185.4 179.7
Percent change in long-lived assets 3.20%      
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 390.6 358.2 $ 712.5 647.8
Percent change in net sales 9.00%   10.00%  
Gross profit $ 262.7 242.9 $ 491.7 438.1
Percent change in gross profit 8.20%   12.20%  
Operating profit $ 98.4 97.7 $ 254.5 221.6
Percent change in operating profit 0.70%   14.80%  
Long-lived assets $ 83.3 80.2 $ 83.3 80.2
Percent change in long-lived assets 3.90%      
Network Software & Systems        
Segment Reporting Information [Line Items]        
Net revenues: $ 366.8 333.9 $ 771.8 682.1
Percent change in net sales 9.90%   13.20%  
Gross profit $ 252.7 225.4 $ 516.1 456.8
Percent change in gross profit 12.10%   13.00%  
Operating profit $ 129.2 115.6 $ 189.8 167.9
Percent change in operating profit 11.80%   13.00%  
Long-lived assets $ 38.6 39.4 $ 38.6 39.4
Percent change in long-lived assets (2.00%)      
Measurement & Analytical Solutions        
Segment Reporting Information [Line Items]        
Net revenues: $ 408.4 425.8 $ 810.2 829.8
Percent change in net sales (4.10%)   (2.40%)  
Gross profit $ 240.2 249.9 $ 471.4 483.9
Percent change in gross profit (3.90%)   (2.60%)  
Operating profit $ 130.3 128.3 $ 248.4 243.7
Percent change in operating profit 1.60%   1.90%  
Long-lived assets $ 41.7 38.8 $ 41.7 38.8
Percent change in long-lived assets 7.50%      
Process Technologies        
Segment Reporting Information [Line Items]        
Net revenues: $ 164.5 175.8 $ 323.0 336.5
Percent change in net sales (6.40%)   (4.00%)  
Gross profit $ 94.4 97.7 $ 181.4 187.6
Percent change in gross profit (3.40%)   (3.30%)  
Operating profit $ 57.2 57.6 $ 107.3 107.9
Percent change in operating profit (0.70%)   (0.60%)  
Long-lived assets $ 21.8 21.3 $ 21.8 21.3
Percent change in long-lived assets 2.30%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 46.7 $ 44.9 $ 85.2 $ 86.6