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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
6 Months Ended
Jun. 30, 2019
Dec. 31, 2018
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 642.6 $ 540.7
Accumulated Amortization 369.2 328.9
Net Carrying Amount, (definite-lived) 273.4 211.8
Indefinite-lived trade name intangible asset 186.1 186.1
Intangible assets, gross (excluding goodwill) 828.7 726.8
Net Carrying Amount, intangible assets $ 459.5 397.9
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 10 years  
Gross Carrying Amount (definite-lived) $ 436.9 399.2
Accumulated Amortization 252.8 234.7
Net Carrying Amount, (definite-lived) $ 184.1 164.5
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 11 years  
Gross Carrying Amount (definite-lived) $ 156.0 107.5
Accumulated Amortization 67.0 60.5
Net Carrying Amount, (definite-lived) $ 89.0 47.0
Backlog and other    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 2 years  
Gross Carrying Amount (definite-lived) $ 49.7 34.0
Accumulated Amortization 49.4 33.7
Net Carrying Amount, (definite-lived) $ 0.3 $ 0.3