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Stock-Based Compensation Plans (Share Awards Activity) (Details) - Stock Compensation Plan [Member] - $ / shares
12 Months Ended
Aug. 27, 2016
Aug. 29, 2015
Aug. 30, 2014
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Beginning of year, Shares 163,420 198,523 190,962
Shares granted 240,270 165,624 138,345
Vested, Shares (110,283) (198,693) (129,817)
Canceled, Shares (9,526) (2,034) (967)
End of year, Shares 283,881 163,420 198,523
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 $ 20.83 $ 18.98 $ 12.46
Granted, Weighted Average Grant Date Fair Value 19.72 21.70 27.44
Vested, Weighted Average Grant Date Fair Value 19.44 19.71 18.82
Canceled, Weighted Average Grant Date Fair Value 20.28 20.58 18.44
End of year, Weighted Average Grant Date Fair Value $ 20.45 $ 20.83 $ 18.98