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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
9 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 1,063.2 $ 1,023.2
Accumulated Amortization 578.5 534.4
Net Carrying Amount, (definite-lived) 484.7 488.8
Indefinite-lived trade name intangible asset 269.1 268.1
Intangible assets, gross (excluding goodwill) 1,332.3 1,291.3
Net Carrying Amount, intangible assets $ 753.8 756.9
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 666.5 637.2
Accumulated Amortization 380.5 357.5
Net Carrying Amount, (definite-lived) $ 286.0 279.7
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 13 years  
Gross Carrying Amount (definite-lived) $ 309.8 311.1
Accumulated Amortization 118.2 102.2
Net Carrying Amount, (definite-lived) $ 191.6 208.9
Backlog and other    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 1 year  
Gross Carrying Amount (definite-lived) $ 86.9 74.9
Accumulated Amortization 79.8 74.7
Net Carrying Amount, (definite-lived) $ 7.1 $ 0.2