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Goodwill and Intangible Assets - Components of Company's Goodwill and Intangible Assets (Details) - USD ($)
$ in Millions
Mar. 31, 2018
Sep. 30, 2017
Mar. 31, 2017
Goodwill and Intangible Assets Disclosure [Abstract]      
Goodwill (not subject to amortization) $ 3,218.1 $ 3,107.2 $ 2,948.4
Intangible assets:      
Customer relationships, noncompete agreements and other 867.0 817.8 764.3
Accumulated amortization (376.2) (340.2) (342.4)
Intangible assets, net (definite-lived) 490.8 477.6 421.9
Trademarks and tradenames (indefinite-lived) 136.3 134.1 129.1
Total intangible assets, net $ 627.1 $ 611.7 $ 551.0