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Goodwill and Intangible Assets - Components of Company's Goodwill and Intangible Assets (Details) - USD ($)
$ in Millions
Mar. 31, 2019
Sep. 30, 2018
Mar. 31, 2018
Goodwill and Intangible Assets Disclosure [Abstract]      
Goodwill (not subject to amortization) $ 3,147.8 $ 3,160.4 $ 3,218.1
Intangible assets:      
Customer relationships, noncompete agreements and other 837.3 848.6 867.0
Trademarks and tradenames 16.5 7.9 0.0
Accumulated amortization (416.3) (393.2) (376.2)
Intangible assets, net (definite-lived) 437.5 463.3 490.8
Trademarks and tradenames (indefinite-lived) 50.8 50.3 136.3
Total intangible assets, net $ 488.3 $ 513.6 $ 627.1