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Goodwill and Other Intangible Assets - Schedule of Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Goodwill [Roll Forward]    
Beginning balances $ 9,346.8 $ 8,820.3
Goodwill acquired 1,447.0 717.5
Goodwill related to assets held for sale   (156.2)
Currency translation adjustments 22.6 (39.7)
Reclassifications and other (1.0) 4.9
Ending balances 10,815.4 9,346.8
Application Software    
Goodwill [Roll Forward]    
Beginning balances 5,236.1 4,565.4
Goodwill acquired 143.4 684.4
Goodwill related to assets held for sale   0.0
Currency translation adjustments 8.3 (17.0)
Reclassifications and other 1.6 3.3
Ending balances 5,389.4 5,236.1
Network Software & Systems    
Goodwill [Roll Forward]    
Beginning balances 2,623.7 2,591.3
Goodwill acquired 1,303.6 33.1
Goodwill related to assets held for sale   0.0
Currency translation adjustments 8.8 (2.3)
Reclassifications and other (2.6) 1.6
Ending balances 3,933.5 2,623.7
Measurement &Analytical Solutions    
Goodwill [Roll Forward]    
Beginning balances 1,174.7 1,345.4
Goodwill acquired 0.0 0.0
Goodwill related to assets held for sale   (156.2)
Currency translation adjustments 3.3 (14.5)
Reclassifications and other 0.0 0.0
Ending balances 1,178.0 1,174.7
Process Technologies    
Goodwill [Roll Forward]    
Beginning balances 312.3 318.2
Goodwill acquired 0.0 0.0
Goodwill related to assets held for sale   0.0
Currency translation adjustments 2.2 (5.9)
Reclassifications and other 0.0 0.0
Ending balances $ 314.5 $ 312.3