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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, 2022
Aug. 31, 2021
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance $ (17,933) $ (20,572)
Current period change (3,540) 2,639
Balance (21,473) (17,933)
Defined Benefit Pension Plan Adjustment [Member]    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance (2,843) (3,228)
Current period change 566 385
Balance (2,277) (2,843)
Defined Benefit Pension Plan Adjustment [Member]    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance (15,085) (17,430)
Current period change (3,839) 2,345
Balance (18,924) (15,085)
Unrealized Gain (Loss) on Marketable Securities [Member]    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance (5) 86
Current period change (267) (91)
Balance $ (272) $ (5)