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Stockholders' Equity - Restricted Stock Units, Additional Information (Details)
12 Months Ended
Aug. 31, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Award vesting percentage (up to) 100.00%
Time-Based Restricted Stock Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Award vesting period 3 years
Performance-Based Restricted Stock Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Award vesting period 3 years
Performance-Based Restricted Stock Units | Maximum  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Award vesting percentage (up to) 150.00%
Market-Based Restricted Stock Units  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Award vesting period 3 years
Market-Based Restricted Stock Units | Maximum  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Award vesting percentage (up to) 200.00%