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Basis of Presentation and Summary of Significant Accounting Policies - Property and Equipment (Details)
12 Months Ended
Sep. 30, 2022
Buildings and land improvements  
Property, Plant and Equipment [Line Items]  
Estimated useful life 40 years
Furniture and equipment | Minimum  
Property, Plant and Equipment [Line Items]  
Estimated useful life 3 years
Furniture and equipment | Maximum  
Property, Plant and Equipment [Line Items]  
Estimated useful life 7 years