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Employee and Retiree Benefits - Deferred Compensation Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 29, 2020
Aug. 31, 2019
Aug. 25, 2018
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Employer discretionary contribution amount $ 3.4 $ 2.9 $ 2.3
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 $ 0.9 0.9 $ 1.1
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 $ 0.7 $ 0.6