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Commitments and Contingencies - Narrative (Details)
$ in Millions
9 Months Ended
May 27, 2023
USD ($)
Site
Company
Gain Contingencies [Line Items]  
Operating lease, existence of option to extend true
Operating lease, existence of option to terminate true
Estimated rate of inflation 3.00%
Annual proceeds $ 0.3
Number of sites related to former operations | Site 2
Balance in escrow account $ 5.2
Number of insurance companies | Company 3
Federal | Mexican Tax Authority | Fiscal 2016 Import Taxes  
Gain Contingencies [Line Items]  
Tax assessment issued $ 17.0
Tax assessment issued with surcharges, fines and penalties 67.7
Tax assessment issued amount net $ 84.7
Minimum  
Gain Contingencies [Line Items]  
Risk-free interest rates utilized 3.80%
Maximum  
Gain Contingencies [Line Items]  
Risk-free interest rates utilized 4.23%