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Income Taxes - Aggregate Changes in Balance of Gross Unrecognized Tax Benefits (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Income Tax Disclosure [Abstract]    
Balance at the beginning of the year $ 85,172 $ 76,590
Beginning balance adjustment 4,018 4,977
Increases related to tax positions taken from prior periods 216  
Decreases related to tax positions taken from prior periods (2,272) (1,476)
Increases related to tax positions taken during current period 484 5,382
Decreases for tax settlements and lapse in statutes (218) (301)
Balance at the end of the year $ 87,400 $ 85,172