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Stock-Based Compensation Plans (Narrative) (Details)
$ in Thousands
3 Months Ended 12 Months Ended
Jan. 24, 2025
shares
Jan. 14, 2022
shares
Aug. 31, 2025
USD ($)
shares
Aug. 31, 2025
USD ($)
item
shares
Aug. 31, 2024
USD ($)
item
shares
Aug. 31, 2023
USD ($)
item
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Capitalized stock-based compensation expense       $ 0 $ 0 $ 0
Common stock issued from treasury stock | shares       455,020    
Shares withheld for tax | shares       147,624 251,686 17,639
Shares withheld for tax, fair value       $ 6,000    
Compensation cost       $ 5,805 $ 10,142 $ 12,520
Tranche One - October 2026 [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       33.33%    
Tranche One - October 2027 [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       33.33%    
Fiscal 2021 Acquisition Of Strive Talent Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Compensation cost       $ 2,800    
Fiscal 2021 Acquisition Of Strive Talent Plan [Member] | Bonus [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Service period       18 months    
Compensation       $ 1,000    
Omnibus Incentive Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Authorized additional shares of common stock for issuance | shares 575,000 1,000,000        
Shares available for future grants | shares     629,000 629,000    
Former Principal Owner [Member] | Fiscal 2021 Acquisition Of Strive Talent Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Compensation       $ 4,200    
Trading days       15 days    
Shares required to be distributed within, days       45 days    
Contingent consideration period       5 years    
Common Stock [Member] | Omnibus Incentive Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares reserved for payment of consideration | shares     200,000 200,000    
Performance Award [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Unrecognized compensation expense     $ 11,100 $ 11,100    
Weighted-average vesting period for recognition       1 year 3 months 18 days    
Compensation cost       $ 3,879 $ 8,275 $ 10,767
Number of individuals who qualified for award | item       3 5 3
Employee Stock Purchase Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Compensation cost       $ 266 $ 252 $ 269
Price of common stock as a percent of the average fair market value       85.00%    
Shares issued to employee stock purchase plan participants | shares       58,719 44,040 40,141
Proceeds from Issuance of Shares under Incentive and Share-based Compensation Plans, Excluding Stock Options       $ 1,500    
Cost basis of shares issued to employee stock purchase plan participants       $ 1,200 $ 800 $ 700
Employee Stock Purchase Plan [Member] | 2017 Employee Stock Purchase Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares remaining in employee stock purchase plan | shares     630,000 630,000    
Unvested Stock Awards [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Unrecognized compensation expense     $ 300 $ 300    
Weighted-average vesting period for recognition       4 months    
Shares vested | shares       23,136    
Vesting period of awards       1 year    
Compensation cost       $ 960 880 700
Intrinsic value of unvested stock awards       500    
Whole-share grant per eligible director       120    
Total recognized tax benefit from unvested stock awards       200 200 200
Issuance of common stock from treasury       500 $ 400 300
Unvested Stock Awards [Member] | Board Of Directors [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Fair value of shares awarded       $ 1,000   $ 700
Shares issued under terms of the award | shares       27,336 23,136 15,882
Long-Term Incentive Plans [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares vested | shares       0    
Reversal of share based compensation expense     $ 1,900      
Long-Term Incentive Plans [Member] | 2025 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Number of tranches | item       3    
Long-Term Incentive Plans [Member] | Prior To 2025 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Number of tranches | item       2    
Long-Term Incentive Plans [Member] | 2023 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percentage of payout achieved for performance-based vesting measurement     95.00% 95.00%    
Long-Term Incentive Plans [Member] | Tranche One [Member] | 2025 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period of awards       3 years    
Long-Term Incentive Plans [Member] | Tranche One [Member] | Prior To 2025 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period of awards       3 years    
Long-Term Incentive Plans [Member] | Tranche One - October 2025 [Member] | 2025 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       33.33%    
Long-Term Incentive Plans [Member] | Tranche Two [Member] | Prior To 2025 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period of awards       3 years    
Long-Term Incentive Plans [Member] | Three-Year Measurement Of Financial Metrics [Member] | 2024 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       100.00%    
Long-Term Incentive Plans [Member] | Three-Year Measurement Of Financial Metrics [Member] | 2023 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       100.00%    
Long-Term Incentive Plans [Member] | Minimum [Member] | Three-Year Measurement Of Financial Metrics [Member] | 2025 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       50.00%    
Long-Term Incentive Plans [Member] | Minimum [Member] | Three-Year Measurement Of Financial Metrics [Member] | 2024 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       50.00%    
Long-Term Incentive Plans [Member] | Minimum [Member] | Three-Year Measurement Of Financial Metrics [Member] | 2023 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       50.00%    
Long-Term Incentive Plans [Member] | Maximum [Member] | Three-Year Measurement Of Financial Metrics [Member] | 2025 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       100.00%    
Long-Term Incentive Plans [Member] | Maximum [Member] | Three-Year Measurement Of Financial Metrics [Member] | 2024 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       200.00%    
Long-Term Incentive Plans [Member] | Maximum [Member] | Three-Year Measurement Of Financial Metrics [Member] | 2023 LTIP [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Percent of award shares vest       200.00%    
Long-Term Incentive And Retention Equity Awards [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting period of awards       3 years    
Percent of shares which will vest       33.33%    
Shares issued under terms of the award | shares       88,399 48,740 40,009