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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
9 Months Ended
Sep. 30, 2019
Dec. 31, 2018
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 645.9 $ 540.7
Accumulated Amortization 380.6 328.9
Net Carrying Amount, (definite-lived) 265.3 211.8
Indefinite-lived trade name intangible asset 186.1 186.1
Intangible assets, gross (excluding goodwill) 832.0 726.8
Net Carrying Amount, intangible assets $ 451.4 397.9
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 440.3 399.2
Accumulated Amortization 260.6 234.7
Net Carrying Amount, (definite-lived) $ 179.7 164.5
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 11 years  
Gross Carrying Amount (definite-lived) $ 155.9 107.5
Accumulated Amortization 70.6 60.5
Net Carrying Amount, (definite-lived) $ 85.3 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