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Goodwill and Other Intangible Assets - Other Intangible Assets (Details) - USD ($)
$ in Millions
Dec. 31, 2018
Dec. 31, 2017
Finite-Lived Intangible Assets [Line Items]    
Assets subject to amortization, accumulated amortization $ (1,386.6) $ (1,230.6)
Intangible assets, cost 5,228.7 4,705.8
Intangible assets, net book value 3,842.1 3,475.2
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Assets not subject to amortization 608.9 587.7
In process research and development    
Finite-Lived Intangible Assets [Line Items]    
Assets not subject to amortization   1.4
Customer related intangibles    
Finite-Lived Intangible Assets [Line Items]    
Assets subject to amortization, cost 3,926.8 3,355.2
Assets subject to amortization, accumulated amortization (1,083.6) (913.7)
Assets subject to amortization, net book value 2,843.2 2,441.5
Unpatented technology    
Finite-Lived Intangible Assets [Line Items]    
Assets subject to amortization, cost 504.0 544.1
Assets subject to amortization, accumulated amortization (199.5) (207.7)
Assets subject to amortization, net book value 304.5 336.4
Software    
Finite-Lived Intangible Assets [Line Items]    
Assets subject to amortization, cost 172.0 184.7
Assets subject to amortization, accumulated amortization (93.2) (84.8)
Assets subject to amortization, net book value 78.8 99.9
Patents and other protective rights    
Finite-Lived Intangible Assets [Line Items]    
Assets subject to amortization, cost 9.7 26.1
Assets subject to amortization, accumulated amortization (7.5) (22.7)
Assets subject to amortization, net book value 2.2 3.4
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Assets subject to amortization, cost 7.3 6.6
Assets subject to amortization, accumulated amortization (2.8) (1.7)
Assets subject to amortization, net book value $ 4.5 $ 4.9