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Employee and Retiree Benefits - Postretirement Health Care and Deferred Compensation Benefits (Details) - USD ($)
$ in Thousands
Aug. 27, 2022
Aug. 28, 2021
Retirement Benefits [Abstract]    
Non-qualified deferred compensation $ 7,937 $ 9,731
Supplemental executive retirement plan 1,371 1,615
Executive deferred compensation plan 1,414 1,029
Total deferred compensation benefits 10,722 12,375
Less current portion 2,577 2,825
Deferred compensation benefits, net of current portion $ 8,145 $ 9,550