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Share-based Compensation - Summary of Fair Value using Monte-Carlo Simulation Model Utilizing Several Key Assumptions (Details) - Total Shareholder Return (TSR)
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected share price volatility 47.90% 56.10% 51.60%
Risk-free rate of return 4.80% 4.20% 0.60%
Peer Group      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Expected share price volatility 46.60% 60.50% 58.50%
Expected correlation 46.60% 48.10% 46.00%