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Stock-Based Compensation (Narrative) (Details) - USD ($) $ in Thousands	3 Months Ended	6 Months Ended
	Feb. 28, 2025	Feb. 28, 2025
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock issued from treasury stock	42,406	405,273
Shares withheld for tax		146,000
Annual Long Term Incentive Performance And Retention Plan [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period of awards		3 years
Shares issued under terms of the award		92,930
Annual Long Term Incentive Performance And Retention Plan [Member] | Vest August 31 Of Each Year Following Grant [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Percent of award shares vest		33.30%
Employee Stock Purchase Plan [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Price of common stock as a percent of the average fair market value		85.00%
Shares issued to employee stock purchase plan participants	11,393	20,976
Unvested Stock Awards [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period of awards		1 year
Whole-share grant per eligible director		$ 120
Long-Term Incentive Plans [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Reduction of stock-based compensation	$ 1,000

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