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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2022
Dec. 31, 2021
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 1,021.3 $ 1,023.2
Accumulated Amortization 551.0 534.4
Net Carrying Amount, (definite-lived) 470.3 488.8
Indefinite-lived trade name intangible asset 268.1 268.1
Intangible assets, gross (excluding goodwill) 1,289.4 1,291.3
Net Carrying Amount, intangible assets $ 738.4 756.9
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 635.4 637.2
Accumulated Amortization 368.7 357.5
Net Carrying Amount, (definite-lived) $ 266.7 279.7
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 13 years  
Gross Carrying Amount (definite-lived) $ 311.0 311.1
Accumulated Amortization 107.6 102.2
Net Carrying Amount, (definite-lived) $ 203.4 208.9
Backlog and other    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 1 year  
Gross Carrying Amount (definite-lived) $ 74.9 74.9
Accumulated Amortization 74.7 74.7
Net Carrying Amount, (definite-lived) $ 0.2 $ 0.2