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Goodwill and Other Intangible Assets (Goodwill) (Details)
$ in Millions
9 Months Ended
Sep. 30, 2019
USD ($)
Goodwill [Roll Forward]  
Balances $ 9,346.8
Additions 1,424.9
Other 0.7
Currency translation adjustments (25.7)
Balances 10,746.7
Application Software  
Goodwill [Roll Forward]  
Balances 5,236.1
Additions 121.3
Other 0.7
Currency translation adjustments (6.1)
Balances 5,352.0
Network Software & Systems  
Goodwill [Roll Forward]  
Balances 2,623.7
Additions 1,303.6
Other 0.0
Currency translation adjustments (13.7)
Balances 3,913.6
Measurement &Analytical Solutions  
Goodwill [Roll Forward]  
Balances 1,174.7
Additions 0.0
Other 0.0
Currency translation adjustments (5.1)
Balances 1,169.6
Process Technologies  
Goodwill [Roll Forward]  
Balances 312.3
Additions 0.0
Other 0.0
Currency translation adjustments (0.8)
Balances $ 311.5