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Goodwill and Other Intangible Assets (Goodwill) (Details)
$ in Millions
3 Months Ended
Mar. 31, 2021
USD ($)
Goodwill [Roll Forward]  
Balances $ 14,395.2
Additions 0.0
Other (3.3)
Currency translation adjustments 13.4
Balances 14,405.3
Application Software  
Goodwill [Roll Forward]  
Balances 8,802.3
Additions 0.0
Other (4.0)
Currency translation adjustments 3.5
Balances 8,801.8
Network Software & Systems  
Goodwill [Roll Forward]  
Balances 4,083.1
Additions 0.0
Other 0.7
Currency translation adjustments 10.4
Balances 4,094.2
Measurement & Analytical Solutions  
Goodwill [Roll Forward]  
Balances 1,190.8
Additions 0.0
Other 0.0
Currency translation adjustments (0.7)
Balances 1,190.1
Process Technologies  
Goodwill [Roll Forward]  
Balances 319.0
Additions 0.0
Other 0.0
Currency translation adjustments 0.2
Balances $ 319.2