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Goodwill and Other Intangible Assets (Goodwill) (Details)
$ in Millions
 6 Months Ended
Jun. 30, 2021
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of period $ 14,395.2
Additions 10.7
Other (3.8)
Currency translation adjustments 27.9
Balance at end of period 14,430.0
Application Software  
Goodwill [Roll Forward]  
Balance at beginning of period 8,802.3
Additions 10.7
Other (4.7)
Currency translation adjustments 7.8
Balance at end of period 8,816.1
Network Software & Systems  
Goodwill [Roll Forward]  
Balance at beginning of period 4,083.1
Additions 0.0
Other 0.9
Currency translation adjustments 15.9
Balance at end of period 4,099.9
Measurement & Analytical Solutions  
Goodwill [Roll Forward]  
Balance at beginning of period 1,190.8
Additions 0.0
Other 0.0
Currency translation adjustments 2.3
Balance at end of period 1,193.1
Process Technologies  
Goodwill [Roll Forward]  
Balance at beginning of period 319.0
Additions 0.0
Other 0.0
Currency translation adjustments 1.9
Balance at end of period $ 320.9