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Leases - Summary of Supplemental Cash Flow Information for Leases (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Cash paid for amounts included in measurement of lease liabilities:      
Operating cash flows from operating leases $ 20,704 $ 17,436 $ 11,905
Right-of-use assets obtained in exchange for new operating lease liabilities $ 27,128 $ 48,310 $ 25,555