Income Taxes - Reconciliation of Statutory Federal Income Tax Rate to Effective Tax Rate (Details)	12 Months Ended
	Sep. 02, 2023	Sep. 03, 2022	Aug. 28, 2021
Income Tax Disclosure [Abstract]
U.S. federal income tax rate	21.00%	21.00%	21.00%
State income taxes, net of federal benefit	4.30%	3.90%	4.10%
Other, net	(0.50%)	(0.40%)	(0.70%)
Effective income tax rate	24.80%	24.50%	24.40%