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Summary of Significant Accounting Policies - Goodwill and Intangible Assets (Details) - USD ($)
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Finite-Lived Intangible Assets [Line Items]      
Accumulated impairment losses $ 0 $ 0  
Provision for goodwill or other intangible asset impairments $ 0 $ 0 $ 0
Customer relationships, noncompete agreements, and other      
Finite-Lived Intangible Assets [Line Items]      
Useful life 15 years    
CMG | Customer Relationships      
Finite-Lived Intangible Assets [Line Items]      
Useful life 35 years