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Goodwill and Other Intangible Assets (Schedule of Goodwill) (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Goodwill [Roll Forward]    
Beginning balances $ 13,966.0 $ 10,387.3
Goodwill acquired 138.8 3,533.0
Currency translation adjustments (18.1) 47.3
Reclassifications and other 7.8 (1.6)
Ending balances 14,094.5 13,966.0
Application Software    
Goodwill [Roll Forward]    
Beginning balances 8,802.3 5,389.4
Goodwill acquired 85.9 3,399.0
Currency translation adjustments (5.8) 14.5
Reclassifications and other 6.9 (0.6)
Ending balances 8,889.3 8,802.3
Network Software & Systems    
Goodwill [Roll Forward]    
Beginning balances 3,746.2 3,596.6
Goodwill acquired 52.9 134.0
Currency translation adjustments (3.0) 16.6
Reclassifications and other 0.9 (1.0)
Ending balances 3,797.0 3,746.2
Measurement &Analytical Solutions    
Goodwill [Roll Forward]    
Beginning balances 1,167.3 1,155.5
Goodwill acquired 0.0 0.0
Currency translation adjustments (6.7) 11.8
Reclassifications and other 0.0 0.0
Ending balances 1,160.6 1,167.3
Process Technologies    
Goodwill [Roll Forward]    
Beginning balances 250.2 245.8
Goodwill acquired 0.0 0.0
Currency translation adjustments (2.6) 4.4
Reclassifications and other 0.0 0.0
Ending balances $ 247.6 $ 250.2