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Goodwill and Other Intangible Assets (Goodwill) (Details)
$ in Millions
3 Months Ended
Mar. 31, 2020
USD ($)
Goodwill [Roll Forward]  
Balances $ 10,815.4
Additions 0.0
Other 1.0
Currency translation adjustments (83.9)
Balances 10,732.5
Application Software  
Goodwill [Roll Forward]  
Balances 5,389.4
Additions 0.0
Other 0.7
Currency translation adjustments (22.1)
Balances 5,368.0
Network Software & Systems  
Goodwill [Roll Forward]  
Balances 3,933.5
Additions 0.0
Other 0.3
Currency translation adjustments (43.3)
Balances 3,890.5
Measurement & Analytical Solutions  
Goodwill [Roll Forward]  
Balances 1,178.0
Additions 0.0
Other 0.0
Currency translation adjustments (12.4)
Balances 1,165.6
Process Technologies  
Goodwill [Roll Forward]  
Balances 314.5
Additions 0.0
Other 0.0
Currency translation adjustments (6.1)
Balances $ 308.4