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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2019
Dec. 31, 2018
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 601.2 $ 540.7
Accumulated Amortization 353.7 328.9
Net Carrying Amount, (definite-lived) 247.5 211.8
Indefinite-lived trade name intangible asset 186.1 186.1
Intangible assets, gross (excluding goodwill) 787.3 726.8
Net Carrying Amount, intangible assets $ 433.6 397.9
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 413.8 399.2
Accumulated Amortization 243.9 234.7
Net Carrying Amount, (definite-lived) $ 169.9 164.5
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 11 years  
Gross Carrying Amount (definite-lived) $ 140.9 107.5
Accumulated Amortization 63.6 60.5
Net Carrying Amount, (definite-lived) $ 77.3 47.0
Backlog and other    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 2 years  
Gross Carrying Amount (definite-lived) $ 46.5 34.0
Accumulated Amortization 46.2 33.7
Net Carrying Amount, (definite-lived) $ 0.3 $ 0.3