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Employee and Retiree Benefits - Deferred Compensation Narrative (Details) - USD ($)
12 Months Ended
Aug. 30, 2025
Aug. 31, 2024
Aug. 26, 2023
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Matching contribution amount $ 14,400,000 $ 15,000,000.0 $ 13,400,000
Employer discretionary contribution amount $ 0 0 0
Key Employees | Non-Qualified Deferred Compensation Program (1981)      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Vesting age 55 years    
Requisite service period 5 years    
Requisite service period prior to December 1992 20 years    
Deferred compensation expense $ 400,000 400,000 $ 500,000
Officers and Managers | Supplemental Employee Retirement Plan (SERP)      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Contractual amount of years after retirement 15 years    
Officers and Key Employees | Executive Deferred Compensation Plan 2007      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Maximum salary deferral 50.00%    
Maximum cash incentive award deferral 100.00%    
Deferred compensation assets $ 2,200,000 $ 2,200,000