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Stock-Based Compensation Plans (Share Awards Activity) (Details) - Restricted Stock [Member] - $ / shares
12 Months Ended
Aug. 25, 2018
Aug. 26, 2017
Aug. 27, 2016
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Beginning of year, Shares 243,769 283,881 163,420
Shares granted 167,781 156,801 240,270
Vested, Shares (100,648) (159,979) (110,283)
Canceled, Shares (25,711) (36,934) (9,526)
End of year, Shares 285,191 243,769 283,881
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 $ 23.61 $ 20.45 $ 20.83
Granted, Weighted Average Grant Date Fair Value 42.54 28.13 19.72
Vested, Weighted Average Grant Date Fair Value 23.96 22.66 19.44
Canceled, Weighted Average Grant Date Fair Value 29.64 22.61 20.28
End of year, Weighted Average Grant Date Fair Value $ 34.08 $ 23.61 $ 20.45