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Goodwill and Other Intangible Assets (Goodwill) (Details)
$ in Millions
3 Months Ended
Mar. 31, 2019
USD ($)
Goodwill [Roll Forward]  
Balances $ 9,346.8
Additions 0.0
Goodwill related to assets held for sale 0.0
Other 1.0
Currency translation adjustments 17.6
Balances 9,365.4
Application Software  
Goodwill [Roll Forward]  
Balances 5,236.1
Additions 0.0
Goodwill related to assets held for sale 0.0
Other 1.0
Currency translation adjustments 10.3
Balances 5,247.4
Network Software & Systems  
Goodwill [Roll Forward]  
Balances 2,623.7
Additions 0.0
Goodwill related to assets held for sale 0.0
Other 0.0
Currency translation adjustments 0.7
Balances 2,624.4
Measurement &Analytical Solutions  
Goodwill [Roll Forward]  
Balances 1,174.7
Additions 0.0
Goodwill related to assets held for sale 0.0
Other 0.0
Currency translation adjustments 4.7
Balances 1,179.4
Process Technologies  
Goodwill [Roll Forward]  
Balances 312.3
Additions 0.0
Goodwill related to assets held for sale 0.0
Other 0.0
Currency translation adjustments 1.9
Balances $ 314.2