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Income Taxes (Unrecognized Tax Benefits, Additional Information) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Income Tax Contingency [Line Items]        
Unrecognized tax benefits that would impact effective tax rate $ 3,400      
Unrecognized tax benefits 3,602 $ 3,162 $ 3,316 $ 2,908
Unrecognized Tax Benefits, Interest on Income Taxes Expense   100    
Unrecognized Tax Benefits, Income Tax Penalties Accrued 0 0    
Unrecognized Tax Benefits, Income Tax Penalties Expense 100 $ 100    
Noncurrent income taxes payable        
Income Tax Contingency [Line Items]        
Unrecognized tax benefits 2,700      
Noncurrent deferred tax assets        
Income Tax Contingency [Line Items]        
Unrecognized tax benefits 900      
Maximum        
Income Tax Contingency [Line Items]        
Decrease in unrecognized tax benefits that is reasonably possible $ 400