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Summary of Significant Accounting Policies - Reclassification Out of Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]    
Income tax expense $ (43) $ (1,222)
Net (loss) (9,640) (743)
Amount reclassified from accumulated other comprehensive loss | Net actuarial gain    
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]    
Total before taxes 1,003 4,217
Amount reclassified from accumulated other comprehensive loss | Settlements/curtailments    
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]    
Total before taxes 208 274
Amount reclassified from accumulated other comprehensive loss | Retirement Plan Liability Adjustment    
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]    
Total before taxes 1,211 4,491
Income tax expense 0 0
Net (loss) $ 1,211 $ 4,491