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Goodwill and Other Intangible Assets (Goodwill) (Details)
$ in Millions
6 Months Ended
Jun. 30, 2019
USD ($)
Goodwill [Roll Forward]  
Balances $ 9,346.8
Additions 311.1
Other 0.8
Currency translation adjustments (1.0)
Balances 9,657.7
Application Software  
Goodwill [Roll Forward]  
Balances 5,236.1
Additions 0.0
Other 0.8
Currency translation adjustments 2.2
Balances 5,239.1
Network Software & Systems  
Goodwill [Roll Forward]  
Balances 2,623.7
Additions 311.1
Other 0.0
Currency translation adjustments (5.9)
Balances 2,928.9
Measurement &Analytical Solutions  
Goodwill [Roll Forward]  
Balances 1,174.7
Additions 0.0
Other 0.0
Currency translation adjustments 1.3
Balances 1,176.0
Process Technologies  
Goodwill [Roll Forward]  
Balances 312.3
Additions 0.0
Other 0.0
Currency translation adjustments 1.4
Balances $ 313.7