Income Taxes - Components of Income Tax (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 30, 2025	Aug. 31, 2024	Aug. 26, 2023
Components of income before income taxes
Domestic	$ 134,781	$ 184,580	$ 173,733
Foreign	1,122	1,470	1,959
Income before income taxes	135,903	186,050	175,692
Current:
Federal	24,591	30,600	24,740
State and local	7,665	7,392	6,128
Foreign	30	383	659
Total current	32,286	38,375	31,527
Deferred:
Federal	(1,087)	5,746	8,804
State and local	552	2,502	1,740
Foreign	538	118	46
Total deferred income tax expense (benefit)	3	8,366	10,590
Income tax expense (benefit)	$ 32,289	$ 46,741	$ 42,117
Effective rate reconciliation
Statutory income tax expense	21.00%	21.00%	21.00%
State income tax expense, net of federal	4.10%	4.20%	4.00%
Valuation allowance	0.30%	0.00%	0.00%
Taxes on foreign income above (below) the U.S. tax	0.00%	0.10%	0.20%
Change in state tax rate	0.70%	0.20%	0.00%
Non-deductible transaction costs	0.10%	0.50%	0.00%
Other permanent items	(2.40%)	(0.90%)	(1.20%)
Income tax expense (benefit)	23.80%	25.10%	24.00%