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Intangible Assets (Acquired Intangible Assets) (Details) - USD ($)
$ in Millions
Sep. 30, 2018
Sep. 30, 2017
Goodwill and Intangible Assets Disclosure [Abstract]    
Intangible assets, gross $ 663.3 $ 578.7
Accumulated amortization and impairment (224.8) (210.4)
Intangible assets, net 438.5 368.3
Acquired Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 598.5 510.9
Accumulated amortization (211.2) (189.5)
Finite-lived intangible assets, net 387.3 321.4
Trade names and trademarks    
Acquired Indefinite-lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets, gross 64.8 67.8
Accumulated impairment (13.6) (20.9)
Indefinite-lived intangible assets, net 51.2 46.9
Customer relationships    
Acquired Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 491.9 424.1
Accumulated amortization (165.5) (142.3)
Finite-lived intangible assets, net 326.4 281.8
Patents and technology    
Acquired Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 34.0 13.4
Accumulated amortization (11.9) (10.6)
Finite-lived intangible assets, net 22.1 2.8
Other    
Acquired Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 72.6 73.4
Accumulated amortization (33.8) (36.6)
Finite-lived intangible assets, net $ 38.8 $ 36.8