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Accumulated Other Comprehensive Loss (Roll Forward of Balances in Accumulated Other Comprehensive Loss) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance $ (21,473) $ (17,933)
Current period change 463 (3,540)
Balance (21,010) (21,473)
Defined Benefit Pension Plan Adjustment [Member]    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance (2,277) (2,843)
Current period change 306 566
Balance (1,971) (2,277)
Defined Benefit Pension Plan Adjustment [Member]    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance (18,924) (15,085)
Current period change (24) (3,839)
Balance (18,948) (18,924)
Unrealized Gain (Loss) on Marketable Securities [Member]    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance (272) (5)
Current period change 181 (267)
Balance $ (91) $ (272)