Employee Benefit Plans - Expected Benefit Payments (Details) - USD ($) $ in Thousands	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
Pension Plans
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
2023	$ 740
2024	189
2025	297
2026	314
2027	139
Thereafter	2,158
Total benefit payments	3,837	$ 5,035	$ 5,468
SERP
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
2023	1,352
2024	1,535
2025	1,591
2026	1,723
2027	1,780
Thereafter	19,581
Total benefit payments	$ 27,562	$ 36,644	$ 38,616