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Business Segments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Segment Reporting Information [Line Items]        
Net revenues: $ 1,354.5 $ 1,318.7 $ 3,972.0 $ 3,814.9
Percent change in net sales 2.70%   4.10%  
Gross profit: $ 873.6 840.0 $ 2,534.2 2,406.4
Percent change in gross profit 4.00%   5.30%  
Operating profit $ 430.1 418.9 $ 1,230.1 1,160.0
Percent change in operating profit 2.70%   6.00%  
Long-lived assets: $ 198.5 173.1 $ 198.5 173.1
Percent change in long-lived assets 14.70%      
Corporate        
Segment Reporting Information [Line Items]        
Unallocated corporate general and administrative expenses $ 44.9 41.4 130.1 128.0
Application Software        
Segment Reporting Information [Line Items]        
Net revenues: $ 405.4 378.3 $ 1,177.2 1,060.4
Percent change in net sales 7.20%   11.00%  
Gross profit: $ 275.4 255.7 $ 791.5 712.5
Percent change in gross profit 7.70%   11.10%  
Operating profit $ 110.1 97.7 $ 299.9 265.6
Percent change in operating profit 12.70%   12.90%  
Long-lived assets: $ 85.6 76.4 $ 85.6 76.4
Percent change in long-lived assets 12.00%      
Network Software & Systems        
Segment Reporting Information [Line Items]        
Net revenues: $ 391.2 341.9 $ 1,103.7 989.7
Percent change in net sales 14.40%   11.50%  
Gross profit: $ 271.9 236.7 $ 763.6 674.8
Percent change in gross profit 14.90%   13.20%  
Operating profit $ 137.5 128.1 $ 392.0 349.7
Percent change in operating profit 7.30%   12.10%  
Long-lived assets: $ 50.0 36.4 $ 50.0 36.4
Percent change in long-lived assets 37.40%      
Measurement & Analytical Solutions        
Segment Reporting Information [Line Items]        
Net revenues: $ 398.3 429.6 $ 1,208.5 1,259.4
Percent change in net sales (7.30%)   (4.00%)  
Gross profit: $ 234.7 253.2 $ 706.1 737.1
Percent change in gross profit (7.30%)   (4.20%)  
Operating profit $ 127.0 136.1 $ 375.4 379.8
Percent change in operating profit (6.70%)   (1.20%)  
Long-lived assets: $ 41.6 39.1 $ 41.6 39.1
Percent change in long-lived assets 6.40%      
Process Technologies        
Segment Reporting Information [Line Items]        
Net revenues: $ 159.6 168.9 $ 482.6 505.4
Percent change in net sales (5.50%)   (4.50%)  
Gross profit: $ 91.6 94.4 $ 273.0 282.0
Percent change in gross profit (3.00%)   (3.20%)  
Operating profit $ 55.5 57.0 $ 162.8 164.9
Percent change in operating profit (2.60%)   (1.30%)  
Long-lived assets: $ 21.3 $ 21.2 $ 21.3 $ 21.2
Percent change in long-lived assets 0.50%