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Income Taxes - Additional Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Income Taxes [Line Items]        
Foreign pretax earnings $ 172,700 $ 136,000 $ 62,100  
Current foreign tax expense related to foreign tax withholdings 12,300 9,500 7,500  
Valuation allowance 2,200      
Unrecognized tax benefits 13,849 $ 12,980 $ 10,897 $ 7,994
Unrecognized tax benefits that would impact the effective tax rate if recognized 12,700      
Unrecognized tax benefits, accrued interest $ 900      
Effective income tax rate 21.00%      
Unremitted earnings of foreign subsidiaries $ 27,200      
U.S. Federal        
Income Taxes [Line Items]        
Net operating loss carryforwards 4,100      
Foreign NOL carryforwards        
Income Taxes [Line Items]        
Net operating loss carryforwards 2,200      
California Franchise Tax Board | Research Tax Credit Carryforward        
Income Taxes [Line Items]        
Excess state research credit $ 9,200