Accrued Liabilities - Schedule of Accrued Liabilities (Details) - USD ($) $ in Thousands	Sep. 02, 2023	Sep. 03, 2022
Payables and Accruals [Abstract]
Accrued payroll and fringe	$ 39,717	$ 48,078
Accrued bonus	17,243	31,961
Accrued sales, property and income taxes	13,116	12,377
Accrued sales and rebates	40,586	32,472
2714000	1,137	2,714
Accrued dividend equivalents	4,975	5,843
Accrued freight	4,905	5,144
Accrued repurchases of common stock	8,494	0
Accrued fees related to the Reclassification	5,575	0
Accrued ERC claims	5,129	0
Accrued other	31,157	25,737
Accrued expenses and other current liabilities	$ 172,034	$ 164,326