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Stock-Based Compensation Plans (Unvested Stock Awards) (Details) - Restricted Stock Awards [Member]
12 Months Ended
Aug. 31, 2020
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Restricted stock awards at August 31, 2019, Number of Shares | shares 28,525
Granted, Number of Shares | shares 21,420
Forfeited, Number of Shares | shares
Vested, Number of Shares | shares (28,525)
Restricted stock awards at August 31, 2020, Number of Shares | shares 21,420
Restricted stock awards at August 31, 2019, Weighted-Average Grant Date Fair Value Per Share | $ / shares $ 24.54
Granted, Weighted-Average Grant Date Fair Value Per Share | $ / shares 32.68
Forfeited, Weighted-Average Grant Date Fair Value Per Share | $ / shares
Vested, Weighted-Average Grant Date Fair Value Per Share | $ / shares 24.54
Restricted stock awards at August 31, 2020, Weighted-Average Grant Date Fair Value Per Share | $ / shares $ 32.68