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Income Taxes (Reconciliation of U.S. Statutory Income Tax Rate) (Details)
12 Months Ended
Aug. 27, 2016
Aug. 29, 2015
Aug. 30, 2014
Income Tax Disclosure [Abstract]      
US federal statutory rate 35.00% 35.00% 35.00%
State taxes, net of federal benefit 2.50% 2.40% 2.30%
Tax-free and dividend income (1.30%) (1.30%) (1.50%)
Income tax credits (1.10%) (0.30%) (0.40%)
Domestic production activities deduction (2.50%) (3.70%) (2.80%)
Other permanent items (1.30%) (0.80%) (0.90%)
Valuation allowance 0.00% 0.00% (0.40%)
Uncertain tax positions settlements and adjustments 0.00% (0.50%) (1.00%)
Effective tax provision rate 31.30% 30.80% 30.30%