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Nature of Business and Summary of Significant Accounting Policies - Estimated Useful Life of Definite-Lived Intangible Assets (Details)
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 5 years 6 years
Completed technology    
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 5 years 5 years
Completed technology | Minimum    
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 4 years  
Completed technology | Maximum    
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 10 years  
Customer contracts and relationships    
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 5 years 9 years
Customer contracts and relationships | Minimum    
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 5 years  
Customer contracts and relationships | Maximum    
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 10 years  
Trade names | Minimum    
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 1 year  
Non-compete agreements    
Acquired Finite-Lived Intangible Assets [Line Items]    
Estimated useful life 2 years