Income Taxes - Components of Income Tax (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 26, 2023	Aug. 27, 2022
Components of income before income taxes
Domestic	$ 184,580	$ 173,733	$ 148,080
Foreign	1,470	1,959	2,489
Income before income taxes	186,050	175,692	150,569
Current:
Federal	30,600	24,740	22,733
State and local	7,392	6,128	6,226
Foreign	383	659	1,247
Total current	38,375	31,527	30,206
Deferred:
Federal	5,746	8,804	11,218
State and local	2,502	1,740	1,614
Foreign	118	46	(1,043)
Total deferred income tax expense (benefit)	8,366	10,590	11,789
Income tax expense (benefit)	$ 46,741	$ 42,117	$ 41,995
Effective rate reconciliation
Statutory income tax expense	21.00%	21.00%	21.00%
Change in fair value of warrant liabilities	0.00%	0.00%	5.00%
State income tax expense, net of federal	4.20%	4.00%	4.20%
Valuation allowance	0.00%	0.00%	(1.50%)
Taxes on foreign income above (below) the U.S. tax	0.10%	0.20%	1.30%
Change in state tax rate	0.20%	0.00%	(0.20%)
Non-deductible transaction costs	0.50%	0.00%	0.00%
Other permanent items	(0.90%)	(1.20%)	(1.90%)
Income tax expense (benefit)	25.10%	24.00%	27.90%