Stock-Based Compensation (Narrative) (Details) $ in Millions	3 Months Ended
	Nov. 30, 2024 USD ($) shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Common stock issued from treasury stock	362,867
Shares withheld for tax	145,768
Shares withheld for tax, fair value | $	$ 6.0
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	9,403
Time Based Award [Member] | 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