Lease Obligations and Other Commitments - Components of Lease Costs (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Feb. 25, 2023	Feb. 26, 2022	Feb. 25, 2023	Feb. 26, 2022
Lease Cost [Abstract]
Consolidated operating lease expense	$ 434	$ 452	$ 1,300	$ 1,353
Consolidated financing lease amortization		23		69
Consolidated financing lease interest		1		4
Consolidated financing lease expense		24		73
Net lease cost	$ 434	$ 476	$ 1,300	$ 1,426