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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
6 Months Ended
Jun. 30, 2020
Dec. 31, 2019
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 650.7 $ 651.9
Accumulated Amortization 420.6 396.0
Net Carrying Amount, (definite-lived) 230.1 255.9
Indefinite-lived trade name intangible asset 186.1 186.1
Intangible assets, gross (excluding goodwill) 836.8 838.0
Net Carrying Amount, intangible assets $ 416.2 442.0
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 445.0 446.2
Accumulated Amortization 290.0 272.2
Net Carrying Amount, (definite-lived) $ 155.0 174.0
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 11 years  
Gross Carrying Amount (definite-lived) $ 156.0 156.0
Accumulated Amortization 81.2 74.4
Net Carrying Amount, (definite-lived) $ 74.8 81.6
Backlog and other    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 2 years  
Gross Carrying Amount (definite-lived) $ 49.7 49.7
Accumulated Amortization 49.4 49.4
Net Carrying Amount, (definite-lived) $ 0.3 $ 0.3