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Goodwill and Intangible Assets - Intangible Assets (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets, cost $ 333,205 $ 284,499  
Finite-lived intangible assets, accumulated amortization (106,296) (88,622)  
Finite-lived intangible assets, carrying value 226,909 195,877  
Total identifiable intangible assets, cost 333,248 284,541  
Total identifiable intangible assets, carrying value $ 226,952 195,919  
Estimated Useful Life 3 years    
Amortization expense of intangible assets $ 20,539 17,892 $ 15,830
Trademarks      
Finite-Lived Intangible Assets [Line Items]      
Indefinite-lived intangible assets 43 42  
Customer relationships      
Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets, cost 310,501 268,301  
Finite-lived intangible assets, accumulated amortization (98,182) (80,681)  
Finite-lived intangible assets, carrying value $ 212,319 $ 187,620  
Customer relationships | Minimum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 9 years 10 years  
Customer relationships | Maximum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 25 years 25 years  
Non-compete agreements      
Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets, cost $ 1,300 $ 1,190  
Finite-lived intangible assets, accumulated amortization (1,059) (705)  
Finite-lived intangible assets, carrying value $ 241 $ 485  
Non-compete agreements | Minimum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 3 years 3 years  
Non-compete agreements | Maximum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 6 years 6 years  
Website and brand development costs      
Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets, cost $ 44 $ 268  
Finite-lived intangible assets, accumulated amortization (37) (159)  
Finite-lived intangible assets, carrying value $ 7 $ 109  
Website and brand development costs | Minimum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 3 years 3 years  
Website and brand development costs | Maximum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 4 years 4 years  
Trade names      
Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets, cost $ 6,531 $ 7,771  
Finite-lived intangible assets, accumulated amortization (3,690) (4,203)  
Finite-lived intangible assets, carrying value $ 2,841 $ 3,568  
Trade names | Minimum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 3 years 3 years  
Trade names | Maximum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 7 years 7 years  
Residual buyouts      
Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets, cost $ 14,220 $ 6,169  
Finite-lived intangible assets, accumulated amortization (3,111) (2,141)  
Finite-lived intangible assets, carrying value $ 11,109 $ 4,028  
Estimated Useful Life 8 years    
Residual buyouts | Maximum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life   8 years  
Referral and exclusivity agreements      
Finite-Lived Intangible Assets [Line Items]      
Finite-lived intangible assets, cost $ 609 $ 800  
Finite-lived intangible assets, accumulated amortization (217) (733)  
Finite-lived intangible assets, carrying value $ 392 $ 67  
Estimated Useful Life 5 years    
Referral and exclusivity agreements | Minimum      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life   5 years