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Employee Benefit Plans - Narrative (Details)
$ in Millions
3 Months Ended
Nov. 29, 2025
USD ($)
RetirementPlan
Nov. 30, 2024
USD ($)
Aug. 30, 2025
USD ($)
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Contributions charged to expense under the plan $ 4.3 $ 4.1  
Other (income) expense $ (0.2) (0.1)  
SERP      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Number of frozen non-contributory defined benefit pension plans | RetirementPlan 1    
Amounts charged to expense related to the plans $ 0.3 0.4  
Non-qualified Deferred Compensation Plan      
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]      
Amounts charged to expense related to the plans 0.3 $ 0.3  
NQDC Plan assets 4.6   $ 4.7
NQDC Plan liabilities, current $ 2.9   $ 2.8