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Employee Benefit Plans - Weighted Average Assumptions Used in Calculating Projected Benefit Obligation (Details)
Aug. 27, 2022
Aug. 28, 2021
Pension Plans    
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]    
Discount rate 4.30% 2.30%
SERP    
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]    
Discount rate 4.40% 2.60%
Rate of compensation increase 5.00% 5.00%