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Stockholders' Equity (Black-Scholes Option Pricing Model) (Details)
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Share-based Payment Arrangement [Abstract]      
Expected dividend yield 0.50% 0.40% 0.60%
Risk-free interest rate 0.10% 1.90% 2.30%
Expected volatility 32.90% 30.70% 28.60%
Expected life 6 months 6 months 6 months