Commitments and Contingencies - Changes to Environmental Liabilities (Details) - USD ($) $ in Thousands	9 Months Ended
	May 25, 2024	May 27, 2023
Accrual for Environmental Loss Contingencies [Roll Forward]
Beginning balance	$ 30,029
Costs incurred for which reserves have been provided	(2,404)
Insurance proceeds	172
Interest accretion	948	$ 777
Changes in discount rates	(493)
Revisions in estimates	1,068
Ending balance	$ 29,320
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration]	Accounts Payable and Accrued Liabilities, Noncurrent