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Nature of Business and Summary of Significant Accounting Policies - Estimated Useful Life of Property and Equipment (Details)
12 Months Ended
Sep. 30, 2020
Data processing equipment and software | Minimum  
Property, Plant and Equipment [Line Items]  
Property and equipment, estimated useful life 3 years
Data processing equipment and software | Maximum  
Property, Plant and Equipment [Line Items]  
Property and equipment, estimated useful life 6 years
Office furniture and equipment | Minimum  
Property, Plant and Equipment [Line Items]  
Property and equipment, estimated useful life 3 years
Office furniture and equipment | Maximum  
Property, Plant and Equipment [Line Items]  
Property and equipment, estimated useful life 7 years
Leasehold improvements  
Property, Plant and Equipment [Line Items]  
Property and equipment, estimated useful life Shorter of estimated useful life or lease term
Equipment under capital lease  
Property, Plant and Equipment [Line Items]  
Property and equipment, estimated useful life Shorter of estimateduseful life or lease term