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Goodwill and Other Intangible Assets (Other Intangible Assets) (Details) - USD ($)
$ in Millions
Mar. 31, 2019
Dec. 31, 2018
Finite-Lived Intangible Assets [Line Items]    
Accumulated amortization $ (1,471.8) $ (1,386.6)
Intangible assets, gross (excluding goodwill) 5,238.6 5,228.7
Intangible assets, net (excluding goodwill) 3,766.8 3,842.1
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets (excluding goodwill) 609.6 608.9
Customer related intangibles    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 3,931.7 3,926.8
Accumulated amortization (1,144.4) (1,083.6)
Finite-lived intangible assets, net 2,787.3 2,843.2
Unpatented technology    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 505.0 504.0
Accumulated amortization (218.6) (199.5)
Finite-lived intangible assets, net 286.4 304.5
Software    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 172.3 172.0
Accumulated amortization (97.9) (93.2)
Finite-lived intangible assets, net 74.4 78.8
Patents and other protective rights    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 12.1 9.7
Accumulated amortization (7.8) (7.5)
Finite-lived intangible assets, net 4.3 2.2
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 7.9 7.3
Accumulated amortization (3.1) (2.8)
Finite-lived intangible assets, net $ 4.8 $ 4.5