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Goodwill and Intangible Assets - (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Indefinite and Finite Lived Intangible Assets by Major Class      
Amortization expense $ 11.3 $ 11.7 $ 13.1
Minimum      
Indefinite and Finite Lived Intangible Assets by Major Class      
Definite-lived intangible assets, useful life 3 years    
Maximum      
Indefinite and Finite Lived Intangible Assets by Major Class      
Definite-lived intangible assets, useful life 10 years