Employee Benefit Plans - Expected Benefit Payments (Details) - USD ($) $ in Thousands	Aug. 28, 2021	Aug. 29, 2020	Aug. 31, 2019
Pension Plans
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
2022	$ 795
2023	269
2024	250
2025	360
2026	377
Thereafter	2,984
Total benefit payments	5,035	$ 5,468	$ 5,566
SERP
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
2022	1,362
2023	1,362
2024	1,549
2025	1,611
2026	1,750
Thereafter	29,010
Total benefit payments	$ 36,644	$ 38,616	$ 35,967