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Goodwill and Other Intangible Assets - Goodwill (Details)
$ in Millions
3 Months Ended
Mar. 31, 2022
USD ($)
Goodwill [Roll Forward]  
Balance at beginning of period $ 14,094.5
Additions 25.6
Other (0.5)
Currency translation adjustments (24.7)
Balance at end of period 14,094.9
Application Software  
Goodwill [Roll Forward]  
Balance at beginning of period 8,889.3
Additions 25.6
Other 0.0
Currency translation adjustments (6.6)
Balance at end of period 8,908.3
Network Software & Systems  
Goodwill [Roll Forward]  
Balance at beginning of period 3,797.0
Additions 0.0
Other (0.5)
Currency translation adjustments (12.1)
Balance at end of period 3,784.4
Measurement & Analytical Solutions  
Goodwill [Roll Forward]  
Balance at beginning of period 1,160.6
Additions 0.0
Other 0.0
Currency translation adjustments (5.0)
Balance at end of period 1,155.6
Process Technologies  
Goodwill [Roll Forward]  
Balance at beginning of period 247.6
Additions 0.0
Other 0.0
Currency translation adjustments (1.0)
Balance at end of period $ 246.6