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Stockholders' Equity (Additional Information) (Details) - shares
shares in Millions
3 Months Ended
Nov. 30, 2020
Nov. 30, 2019
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) 1.1 1.1
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) 0.3 0.3
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  
Award vesting percentage 200.00%  
Restricted stock units awarded (in shares) 0.3 0.3