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Employee and Retiree Benefits - Postretirement Health Care and Deferred Compensation Benefits (Details) - USD ($)
$ in Millions
Aug. 26, 2023
Aug. 27, 2022
Retirement Benefits [Abstract]    
Non-qualified deferred compensation $ 6.7 $ 7.9
Supplemental executive retirement plan 1.2 1.4
Executive deferred compensation plan 1.8 1.4
Total deferred compensation benefits 9.7 10.7
Less current portion 1.8 2.6
Deferred compensation benefits, net of current portion $ 7.9 $ 8.1