Income Taxes - Provision / (Benefit) for Income Taxes (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
Current:
Federal	$ 7,655	$ 35,267	$ 40,084
Foreign	1,839	1,714	1,589
State	3,701	9,873	12,865
Total current	13,195	46,854	54,538
Deferred:
Federal	13,883	(1,421)	(8,522)
Foreign	180	848	(599)
State	3,663	(521)	(3,299)
Total deferred	17,726	(1,094)	(12,420)
Total	$ 30,921	$ 45,760	$ 42,118