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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract]      
Impairment of goodwill $ 0.0 $ 23.7  
Impairment of indefinite-lived intangible assets   30.0 $ 9.3
Impairment of definite-lived intangible assets   $ 1.7 $ 4.0
Definite-lived intangible assets weighted-average remaining useful life 6 years 8 months 12 days