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Share-Based Compensation (Narrative) (Details)
$ in Thousands
12 Months Ended
Aug. 31, 2023
USD ($)
Item
shares
Aug. 31, 2022
USD ($)
shares
Aug. 31, 2021
USD ($)
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Pre-tax total unrecognized compensation cost related to nonvested share-based compensation | $ $ 8,200    
Weighted average period to be recognized 1 year 9 months 18 days    
Outstanding stock options vested 19,617 47,222 38,954
Shares outstanding 118,470 97,140  
Share withheld for payroll tax obligations | $ $ 2,471 $ 1,181 $ 1,269
Restricted Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Percentage vested per year 33.00%    
Fair value vested | $ $ 3,700 $ 4,100  
Number of shares vested 24,342    
Restricted Stock Units Settled In Cash [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares outstanding 4,039 4,412 4,656
Performance Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Number of shares vested 9,344   0
Performance Stock Units [Member] | Common Stock [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares vested 18,688 18,998  
Performance Stock Units [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percentage of awards actually earned 0.00%    
Performance Stock Units [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Percentage of awards actually earned 2.00%    
2015 Long-Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Plan effective date Jan. 26, 2015    
Maximum number of shares authorized 626,968    
Number of shares available 217,146    
Stock award ratio | Item 1    
2015 Long-Term Incentive Plan [Member] | Employee Stock Option      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock option expire, years 10 years    
Vesting period 4 years    
Non Employee Directors [Member] | Restricted Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 9 months