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Goodwill and Intangible Assets - Components of Company's Goodwill and Intangible Assets (Details) - USD ($)
$ in Millions
Jun. 30, 2019
Sep. 30, 2018
Jun. 30, 2018
Goodwill and Intangible Assets Disclosure [Abstract]      
Goodwill (not subject to amortization) $ 3,159.1 $ 3,160.4 $ 3,169.0
Intangible assets:      
Customer relationships, noncompete agreements and other 844.7 848.6 852.5
Trademarks and tradenames 16.4 7.9 7.9
Accumulated amortization (432.7) (393.2) (381.2)
Intangible assets, net (definite-lived) 428.4 463.3 479.2
Trademarks and tradenames (indefinite-lived) 51.6 50.3 50.6
Total intangible assets, net $ 480.0 $ 513.6 $ 529.8