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Income Taxes - Components of Income Before Income Taxes (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Income Tax Disclosure [Abstract]      
Domestic $ 104,432 $ 57,138 $ (124,227)
Foreign (20,426) (56,138) (44,483)
Income (loss) before income tax $ 84,006 $ 1,000 $ (168,710)