Employee Benefit Plans - Obligations and Funded Status (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 26, 2023	Aug. 27, 2022	Aug. 28, 2021
Pension Plans
Change in benefit obligation:
Projected benefit obligation, beginning of year	$ 3,837	$ 5,035
Service cost	73	72	$ 71
Interest cost	147	104	104
Actuarial (gain) loss	(220)	(861)
Benefits paid	(17)	(23)
Settlements/Curtailments	(271)	(490)
Projected benefit obligation, end of year	3,549	3,837	5,035
Change in plan assets:
Fair value of plan assets, beginning of year	3,300	3,796
Actual return on plan assets	26	17
Benefits paid	(17)	(23)
Settlements/Curtailments	(271)	(490)
Fair value of plan assets, end of year	2,986	3,300	3,796
Funded status (net amount recognized):	(563)	(537)
SERP
Change in benefit obligation:
Projected benefit obligation, beginning of year	27,562	36,644
Service cost	486	919	1,100
Interest cost	1,191	928	943
Actuarial (gain) loss	(2,811)	(8,871)
Benefits paid	(1,309)	(1,203)
Settlements/Curtailments		(855)
Projected benefit obligation, end of year	25,119	27,562	$ 36,644
Change in plan assets:
Funded status (net amount recognized):	$ (25,119)	$ (27,562)