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Stock-based Compensation (Schedule of Valuation Assumptions) (Details) - Market Share Units
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]      
Expected volatility 37.50% 32.70% 28.50%
Risk-free interest rate 4.30% 0.60% 0.20%
Expected dividend yield 0.00% 0.00% 0.00%