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Earnings per Common Share (Schedule of Weighted Average Number of Shares) (Details) - shares
shares in Thousands
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Earnings Per Share [Abstract]      
Weighted-average common shares outstanding, basic (in shares) 13,578 13,668 13,698
Weighted-average dilutive securities (in shares) 26 28 35
Weighted-average common shares outstanding, diluted (in shares) 13,604 13,696 13,733