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Stock-Based Compensation Plans (Narrative) (Details)
$ in Thousands
12 Months Ended
Jan. 14, 2022
shares
Oct. 02, 2020
USD ($)
item
Aug. 31, 2024
USD ($)
item
shares
Aug. 31, 2023
USD ($)
item
shares
Aug. 31, 2022
USD ($)
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     666,440    
Shares withheld for tax | shares     251,686 17,639 86,125
Shares withheld for tax, fair value     $ 10,300    
Compensation cost     10,142 $ 12,520 $ 8,286
Fiscal 2021 Acquisition Of Strive Talent Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Compensation cost     $ 2,200    
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    
Compensation cost     800    
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    
Performance Award [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized compensation expense     $ 13,100    
Weighted-average vesting period for recognition     1 year 7 months 6 days    
Service period   2 years      
Compensation cost     $ 8,275 $ 10,767 $ 6,133
Increase adjusted EBITDA vesting target   $ 2,000      
Number of impacted associates apart of compensation plan modification | item   20      
Number of individuals who qualified for award | item     5 3 3
Performance Award [Member] | Omnibus Incentive Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Authorized additional shares of common stock for issuance | shares 1,000,000        
Shares available for future grants | shares     307,000    
Employee Stock Purchase Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Compensation cost     $ 252 $ 269 $ 239
Price of common stock as a percent of the average fair market value     85.00%    
Shares issued to employee stock purchase plan participants | shares     44,040 40,141 36,960
Proceeds from Issuance of Shares under Incentive and Share-based Compensation Plans, Excluding Stock Options     $ 1,500   $ 1,300
Cost basis of shares issued to employee stock purchase plan participants     $ 800 $ 700 600
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     689,000    
Unvested Stock Awards [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized compensation expense     $ 300    
Weighted-average vesting period for recognition     4 months    
Vesting period of awards     1 year    
Compensation cost     $ 880 700 673
Intrinsic value of unvested stock awards     900    
Whole-share grant per eligible director     120    
Total recognized tax benefit from unvested stock awards     200 200 200
Issuance of common stock from treasury     400 300 200
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 $ 700
Shares issued under terms of the award | shares     23,136 15,882 13,260
Long-Term Incentive Plans [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of tranches | item     2    
Vesting period of awards     3 years    
Measurement period     3 years    
Long-Term Incentive Plans [Member] | Tranche One [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] | Tranche One [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] | Tranche One [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     48,740 40,009