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Significant Non-cash Transactions (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract] |  |  |
Restricted Class A common stock issued as part of acquisition purchase consideration (Note 4) | $ 2,000 | $ 0 | $ 35,245
Acquisition date fair value of contingent consideration in connection with business combinations | 760 | 6,281 | 22,577
Residual buyouts financed through principal and interest forgiveness of a loan | 5,860 | 0 | 0
Replacement of the Prior Senior Secured Credit Facility with the 2023 Senior Secured Credit Facility | 284,000 | 0 | 0
Debt issuance costs financed with proceeds from the 2023 Senior Secured Credit Facility | 2,386 | 0 | 0
Accrued interest financed with proceeds from the 2023 Senior Secured Credit Facility | 1,617 | 0 | 0
Right-of-use assets obtained in exchange for operating lease obligations | $ 927 | $ 7,846 | $ 16,879

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