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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
6 Months Ended
Jun. 30, 2021
Dec. 31, 2020
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 875.7 $ 662.5
Accumulated Amortization 495.0 451.1
Net Carrying Amount, (definite-lived) 380.7 211.4
Indefinite-lived trade name intangible asset 240.1 186.1
Intangible assets, gross (excluding goodwill) 1,115.8 848.6
Net Carrying Amount, intangible assets $ 620.8 397.5
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 614.6 456.6
Accumulated Amortization 334.9 313.6
Net Carrying Amount, (definite-lived) $ 279.7 143.0
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 12 years  
Gross Carrying Amount (definite-lived) $ 195.2 156.2
Accumulated Amortization 94.5 88.1
Net Carrying Amount, (definite-lived) $ 100.7 68.1
Backlog and other    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 1 year  
Gross Carrying Amount (definite-lived) $ 65.9 49.7
Accumulated Amortization 65.6 49.4
Net Carrying Amount, (definite-lived) $ 0.3 $ 0.3