Commitments and Contingencies - Changes to Environmental Liabilities (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 26, 2023	Aug. 27, 2022	Aug. 28, 2021
Accrual For Environmental Loss Contingencies Roll Forward
Beginning balance	$ 32,191	$ 32,859
Costs incurred for which reserves have been provided	(1,936)	(2,188)
Insurance proceeds	147	135
Interest accretion	1,036	596	$ 448
Changes in discount rates	(2,446)	(3,235)
Revisions in estimates	1,037	4,024
Ending balance	$ 30,029	$ 32,191	$ 32,859
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration]	Accounts Payable and Accrued Liabilities, Noncurrent