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Summary of Significant Accounting Policies - Components of Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Total accumulated other comprehensive loss $ 30,425 $ 34,335
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning balance 34,335 40,690
Ending balance 30,425 34,335
Foreign Currency Translation Adjustment    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Total accumulated other comprehensive loss (5,554) (5,928)
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning balance (5,928) (6,196)
Other comprehensive income (loss) before reclassifications 374 268
Amounts reclassified from accumulated other comprehensive loss 0 0
Net current-period other comprehensive income (loss) 374 268
Ending balance (5,554) (5,928)
Retirement Plan Liability Adjustment    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Total accumulated other comprehensive loss 163 (741)
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning balance (741) (2,509)
Other comprehensive income (loss) before reclassifications 701 1,341
Amounts reclassified from accumulated other comprehensive loss 203 427
Net current-period other comprehensive income (loss) 904 1,768
Ending balance 163 (741)
Interest Rates Swap Adjustment    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Total accumulated other comprehensive loss 2 9
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning balance 9 12
Other comprehensive income (loss) before reclassifications (7) (3)
Amounts reclassified from accumulated other comprehensive loss 0 0
Net current-period other comprehensive income (loss) (7) (3)
Ending balance 2 9
Accumulated Other Comprehensive Loss    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Total accumulated other comprehensive loss (5,389) (6,660)
AOCI Attributable to Parent, Net of Tax [Roll Forward]    
Beginning balance (6,660) (8,693)
Other comprehensive income (loss) before reclassifications 1,068 1,606
Amounts reclassified from accumulated other comprehensive loss 203 427
Net current-period other comprehensive income (loss) 1,271 2,033
Ending balance $ (5,389) $ (6,660)