Employee Benefit Plans - Obligations and Funded Status (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
Pension Plans
Change in benefit obligation:
Projected benefit obligation, beginning of year	$ 5,035	$ 5,468
Service cost	72	71	$ 113
Interest cost	104	104	131
Actuarial (gain) loss	(861)	(225)
Benefits paid	(23)	(28)
Settlements/Curtailments	(490)	(355)
Projected benefit obligation, end of year	3,837	5,035	5,468
Change in plan assets:
Fair value of plan assets, beginning of year	3,796	4,146
Actual return on plan assets	17	33
Benefits paid	(23)	(28)
Settlements/Curtailments	(490)	(355)
Fair value of plan assets, end of year	3,300	3,796	4,146
Funded status (net amount recognized):	(537)	(1,239)
SERP
Change in benefit obligation:
Projected benefit obligation, beginning of year	36,644	38,616
Service cost	919	1,100	918
Interest cost	928	943	1,027
Actuarial (gain) loss	(8,871)	(2,890)
Benefits paid	(1,203)	(1,125)
Settlements/Curtailments	(855)
Projected benefit obligation, end of year	27,562	36,644	$ 38,616
Change in plan assets:
Funded status (net amount recognized):	$ (27,562)	$ (36,644)