Employee Benefit Plans - Amounts Recorded in Consolidated Balance Sheet (Details) - USD ($) $ in Thousands	Aug. 28, 2021	Aug. 29, 2020
Pension Plans
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Deferred tax assets	$ 213	$ 279
Accrued liabilities	1,240	1,322
Accumulated other comprehensive loss	(1,044)	(819)
SERP
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Deferred tax assets	2,218	3,144
Accrued liabilities	36,644	38,616
Accumulated other comprehensive loss	$ (6,449)	$ (9,234)