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Income Taxes - Reconciliation of U.S. Statutory Income Tax Rate (Details)
12 Months Ended
Aug. 26, 2023
Aug. 27, 2022
Aug. 28, 2021
Income Tax Disclosure [Abstract]      
U.S. federal statutory rate 21.00% 21.00% 21.00%
State taxes, net of federal benefit 3.10% 3.50% 3.30%
Income tax credits (1.10%) (0.50%) (0.60%)
Nondeductible compensation 1.10% 0.90% 0.50%
Tax-free and dividend income (0.10%) (0.10%) (0.10%)
Uncertain tax position settlements and adjustments 0.10% (0.10%) (0.10%)
Other items (1.40%) (0.60%) (0.70%)
Effective tax provision rate 22.70% 24.10% 23.30%