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Goodwill and Intangible Assets - Narrative (Details) - USD ($)
$ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Apr. 30, 2018
Jun. 30, 2018
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Goodwill and Intangible Assets Disclosure [Abstract]          
Amortization expense of intangible assets     $ 58.6 $ 50.8 $ 54.3
Expected aggregate amortization expense of intangible assets for the next five fiscal years:          
Fiscal 2019     57.2    
Fiscal 2020     55.8    
Fiscal 2021     52.5    
Fiscal 2022     49.5    
Fiscal 2023     $ 48.0    
Finite-lived intangible asset, useful life 3 years   15 years    
Impairment of intangible assets, finite-lived   $ 75.0 $ 75.0 $ 0.0 $ 0.0
Finite-lived trademarks and tradenames, gross   $ 7.9 $ 7.9