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Commitments and Contingencies - Changes to Environmental Liabilities (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 26, 2023
Aug. 27, 2022
Accrual For Environmental Loss Contingencies Roll Forward      
Beginning balance $ 30,029 $ 32,191  
Costs incurred for which reserves have been provided (3,176) (1,936)  
Insurance proceeds 238 147  
Interest accretion 1,264 1,036 $ 596
Changes in discount rates 244 (2,446)  
Revisions in estimates 2,656 1,037  
Ending balance $ 31,255 $ 30,029 $ 32,191
Environmental Loss Contingency, Statement of Financial Position [Extensible Enumeration] Accounts Payable and Accrued Liabilities, Noncurrent Accounts Payable and Accrued Liabilities, Noncurrent