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Stockholders' Equity (Additional Information) (Details) - shares
6 Months Ended
Feb. 28, 2022
Feb. 28, 2021
Time-based restricted stock units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award vesting period 3 years  
Restricted stock units awarded (in shares) 700,000 1,200,000
Performance-based restricted stock units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award vesting period 3 years  
Restricted stock units awarded (in shares) 200,000 400,000
Performance-based restricted stock units | Maximum    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award vesting percentage 150.00%  
Market-based restricted stock units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award vesting period 3 years  
Restricted stock units awarded (in shares) 200,000 300,000
Market-based restricted stock units | Maximum    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Award vesting percentage 200.00%  
2021 Equity Incentive Plan    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Number of shares available to be issued 9,894,144