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Share-based Compensation - Stock Options, Valuation Assumptions (Details)
12 Months Ended
Aug. 26, 2017
Aug. 27, 2016
Aug. 29, 2015
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]      
Risk-free interest rate 1.58% 1.76% 1.92%
Expected dividend yield 0.21% 0.25% 0.27%
Expected life in years 7 years 5 months 5 days 7 years 4 months 24 days 7 years 5 months 8 days
Expected volatility 24.00% 29.30% 32.20%