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Goodwill and Other Intangible Assets, Intangible Assets (Details) - USD ($)
$ in Millions
3 Months Ended
Mar. 31, 2020
Dec. 31, 2019
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 649.3 $ 651.9
Accumulated Amortization 407.2 396.0
Net Carrying Amount, (definite-lived) 242.1 255.9
Indefinite-lived trade name intangible asset 186.1 186.1
Intangible assets, gross (excluding goodwill) 835.4 838.0
Net Carrying Amount, intangible assets $ 428.2 442.0
Customer relationships    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 9 years  
Gross Carrying Amount (definite-lived) $ 443.7 446.2
Accumulated Amortization 280.0 272.2
Net Carrying Amount, (definite-lived) $ 163.7 174.0
Proprietary technology    
Intangible Assets    
Weighted average useful lives of acquired amortizable intangible assets 11 years  
Gross Carrying Amount (definite-lived) $ 155.9 156.0
Accumulated Amortization 77.8 74.4
Net Carrying Amount, (definite-lived) $ 78.1 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