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Income Taxes - Additional Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Income Taxes [Line Items]        
Foreign pretax earnings $ 150,800 $ 172,700 $ 136,000  
Current foreign tax expense related to foreign tax withholdings 14,600 12,300 9,500  
Unrecognized tax benefits 19,879 $ 13,849 $ 12,980 $ 10,897
Unrecognized tax benefits that would impact the effective tax rate if recognized 18,600      
Unrecognized tax benefits, accrued interest $ 1,700      
Effective income tax rate 21.00%      
Unremitted earnings of foreign subsidiaries $ 82,600      
Deferred Tax Liabilities, Undistributed Foreign Earnings 2,800      
U.S. Federal        
Income Taxes [Line Items]        
Net operating loss carryforwards 2,800      
California Franchise Tax Board | Research Tax Credit Carryforward        
Income Taxes [Line Items]        
Excess state research credit $ 7,100