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Goodwill and Other Intangible Assets (Other Intangible Assets) (Details) - USD ($)
$ in Millions
Sep. 30, 2018
Dec. 31, 2017
Finite-Lived Intangible Assets [Line Items]    
Accumulated amortization $ (1,348.6) $ (1,230.6)
Intangible assets, gross (excluding goodwill) 5,235.6 4,705.8
Intangible assets, net (excluding goodwill) 3,887.0 3,475.2
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets (excluding goodwill) 613.4 587.7
In process research and development    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets (excluding goodwill) 1.4 1.4
Customer related intangibles    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 3,923.8 3,355.2
Accumulated amortization (1,060.0) (913.7)
Finite-lived intangible assets, net 2,863.8 2,441.5
Unpatented technology    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 500.7 544.1
Accumulated amortization (182.9) (207.7)
Finite-lived intangible assets, net 317.8 336.4
Software    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 174.7 184.7
Accumulated amortization (90.9) (84.8)
Finite-lived intangible assets, net 83.8 99.9
Patents and other protective rights    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 14.8 26.1
Accumulated amortization (12.1) (22.7)
Finite-lived intangible assets, net 2.7 3.4
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 6.8 6.6
Accumulated amortization (2.7) (1.7)
Finite-lived intangible assets, net $ 4.1 $ 4.9