Employee Benefit Plans - Amounts Recorded in Consolidated Balance Sheet (Details) - USD ($) $ in Thousands	Aug. 31, 2024	Aug. 26, 2023
Pension Plans
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Deferred tax assets (liabilities)	$ (10)	$ (16)
Accrued liabilities	501	563
Accumulated other comprehensive income (loss)	30	46
SERP
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Deferred tax assets (liabilities)	(750)	(904)
Accrued liabilities	25,880	25,119
Accumulated other comprehensive income (loss)	$ 2,200	$ 2,628