Commitments and Contingencies - Narrative (Details) $ in Millions	9 Months Ended
	May 25, 2024 USD ($) Site Company
Gain Contingencies [Line Items]
Operating lease, existence of option to extend	true
Operating lease, existence of option to terminate	true
Estimated impact of inflation per year	3.00%
Annual proceeds	$ 0.3
Number of sites related to former operations | Site	2
Balance in escrow account	$ 5.5
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	4.57%
Maximum
Gain Contingencies [Line Items]
Risk-free interest rates utilized	4.65%