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Stock-Based Compensation Plans (Share Awards Activity) (Details) - Stock Compensation Plan [Member] - $ / shares
12 Months Ended
Aug. 26, 2017
Aug. 27, 2016
Aug. 29, 2015
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Beginning of year, Shares 283,881 163,420 198,523
Shares granted 156,801 240,270 165,624
Vested, Shares (159,979) (110,283) (198,693)
Canceled, Shares (36,934) (9,526) (2,034)
End of year, Shares 243,769 283,881 163,420
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Roll Forward]      
Beginning of year, Weighted Average Grant Date Fair Value $ 20.45 $ 20.83 $ 18.98
Granted, Weighted Average Grant Date Fair Value 28.13 19.72 21.70
Vested, Weighted Average Grant Date Fair Value 22.66 19.44 19.71
Canceled, Weighted Average Grant Date Fair Value 22.61 20.28 20.58
End of year, Weighted Average Grant Date Fair Value $ 23.61 $ 20.45 $ 20.83