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Stock-Based Compensation Plans (Narrative) (Details)
$ in Thousands
12 Months Ended
Feb. 04, 2022
shares
Jan. 14, 2022
shares
Oct. 02, 2020
USD ($)
shares
Oct. 18, 2019
item
shares
Oct. 01, 2018
item
shares
Aug. 31, 2022
USD ($)
item
shares
Aug. 31, 2021
USD ($)
item
shares
Aug. 31, 2020
USD ($)
item
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Common stock issued from treasury stock | shares           272,060    
Shares withheld for tax | shares           86,125    
Shares withheld for tax, fair value           $ 3,500    
Capitalized stock-based compensation expense           0    
Stock-based compensation           $ 8,286 $ 8,617 $ (573)
Fiscal 2022 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Number of tranches | item           2    
Fiscal 2021 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Number of tranches | item             2  
Fiscal 2021 Acquisition Of Strive Talent Plan [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock-based compensation           $ 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    
Maximum [Member] | Fiscal 2021 Acquisition Of Strive Talent Plan [Member] | Bonus [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock-based compensation           100    
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    
Common Stock [Member] | 2022 Omnibus Plan [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Shares reserved for payment of consideration | shares           200,000    
Stock Options [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Stock options exercised | shares             218,750 350,000
Shares withheld for tax | shares             51,738 102,656
Shares withheld for tax, fair value             $ 1,300 $ 3,600
Intrinsic value of the exercised options             2,900 8,000
Income tax benefit from exercise of the options             700 1,800
Income tax benefit upon exercise of the options             500  
Restricted Stock Awards [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Unrecognized compensation expense           $ 200    
Whole-share grant per eligible director           $ 110    
Vesting period of awards           1 year    
Cost of common stock issued from treasury           $ 200 400 300
Weighted-average vesting period for recognition           4 months    
Total recognized tax benefit from unvested stock awards           $ 200 200 200
Intrinsic value of unvested stock awards           600    
Stock-based compensation           673 700 700
Restricted Stock Awards [Member] | Board Of Directors [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Fair value of shares awarded           $ 700 $ 700 $ 700
Shares issued under terms of the award | shares           13,260 28,049 21,420
Performance-Based Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Service period     2 years          
Increase Adjusted EBITDA vesting target     $ 2,000          
Unrecognized compensation expense           $ 10,600    
Number of individuals who qualified for award | item           3 4 4
Stock-based compensation           $ 6,133 $ 7,298 $ (1,518)
Performance-Based Award [Member] | 2022 Omnibus 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           838,000    
Performance-Based Award [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting period of awards 3 years              
Performance-Based Award [Member] | Fiscal 2021 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Vesting period of awards     3 years          
Performance-Based Award [Member] | Fiscal 2020 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Shares may be awarded | shares       25,101        
Increase Adjusted EBITDA vesting target           $ 2,000    
Shares authorized to be issued | shares       150,630        
Number of tranches | item       3        
Life of awards       3 years        
Expiration date           Aug. 31, 2024    
Percent of shares plan participants are entitled to       25.00%        
Vesting period of awards       3 years        
Performance-Based Award [Member] | Fiscal 2019 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Shares may be awarded | shares         36,470      
Service period           2 years    
Increase Adjusted EBITDA vesting target           $ 2,000    
Shares authorized to be issued | shares         218,818      
Number of tranches | item         3      
Life of awards         3 years      
Expiration date           Aug. 31, 2023    
Percent of shares plan participants are entitled to         25.00%      
Vesting period of awards         3 years      
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 | shares           36,960 51,581 41,409
Cost basis of shares issued to employee stock purchase plan participants           $ 600 $ 800 $ 600
Proceeds from ESPP participants           1,300 1,100 1,000
Stock-based compensation           $ 239 $ 205 $ 185
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           773,000    
Tranche One [Member] | Time-Based Award [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of award shares vest 25.00%              
Shares issued under terms of the award | shares 24,649              
Tranche One [Member] | Time-Based Award [Member] | Fiscal 2021 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of award shares vest     25.00%          
Shares issued under terms of the award | shares     52,696          
Tranche Two and Three [Member] | Performance-Based Award [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance-based objectives 100.00%              
Shares issued under terms of the award | shares 73,929              
Tranche Two and Three [Member] | Performance-Based Award [Member] | Fiscal 2021 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance-based objectives     100.00%          
Shares issued under terms of the award | shares     158,088          
Tranche Two and Three [Member] | Performance-Based Award [Member] | Minimum [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance award to be granted 50.00%              
Tranche Two and Three [Member] | Performance-Based Award [Member] | Minimum [Member] | Fiscal 2021 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance award to be granted     50.00%          
Tranche Two and Three [Member] | Performance-Based Award [Member] | Minimum [Member] | Fiscal 2020 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance award to be granted       50.00%        
Tranche Two and Three [Member] | Performance-Based Award [Member] | Minimum [Member] | Fiscal 2019 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance award to be granted         50.00%      
Tranche Two and Three [Member] | Performance-Based Award [Member] | Maximum [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance award to be granted 200.00%              
Shares may be awarded | shares 147,858              
Tranche Two and Three [Member] | Performance-Based Award [Member] | Maximum [Member] | Fiscal 2021 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance award to be granted     200.00%          
Shares may be awarded | shares     316,176          
Tranche Two and Three [Member] | Performance-Based Award [Member] | Maximum [Member] | Fiscal 2020 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance award to be granted       200.00%        
Tranche Two and Three [Member] | Performance-Based Award [Member] | Maximum [Member] | Fiscal 2019 Long Term Incentive Plan Award [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Percent of performance award to be granted         200.00%