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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
9 Months Ended
Sep. 30, 2018
Dec. 31, 2017
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 541.7 $ 539.6
Intangible assets, gross (excluding goodwill) 727.8 725.7
Accumulated Amortization 318.0 284.1
Net Carrying Amount, (definite-lived) 223.7 255.5
Indefinite-lived trade name intangible asset 186.1 186.1
Net Carrying Amount, intangible assets $ 409.8 441.6
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 400.2 398.1
Accumulated Amortization 226.2 199.8
Net Carrying Amount, (definite-lived) $ 174.0 198.3
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 11 years  
Gross Carrying Amount (definite-lived) $ 107.5 107.5
Accumulated Amortization 58.1 50.7
Net Carrying Amount, (definite-lived) $ 49.4 56.8
Backlog and other    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 2 years  
Gross Carrying Amount (definite-lived) $ 34.0 34.0
Accumulated Amortization 33.7 33.6
Net Carrying Amount, (definite-lived) $ 0.3 $ 0.4