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Share-based Compensation - Valuation Assumptions (Details) - Stock Appreciation Rights (SARs)
12 Months Ended
Aug. 25, 2018
Aug. 26, 2017
Aug. 27, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Risk-free interest rate 2.23% 1.58% 1.76%
Expected dividend yield 0.18% 0.21% 0.25%
Expected life in years 7 years 4 months 27 days 7 years 5 months 5 days 7 years 4 months 24 days
Expected volatility 23.10% 24.00% 29.30%