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Stock-Based Compensation Plans Stock Option Valuation Assumptions (Details) - $ / shares
12 Months Ended
Aug. 25, 2018
Aug. 26, 2017
Aug. 27, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]      
Expected dividend yield 0.90% 1.35% 2.40%
Risk free interest rate 1.99% 1.47% 1.49%
Expected life (in years) 5 years 5 years 5 years
Expected volatility 38.08% 39.34% 43.52%
Weighted average fair value of options granted $ 14.78 $ 9.58 $ 5.31