Lease Obligations and Other Commitments - Schedule of Cash Outflows of Leasing Activity (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Feb. 26, 2022	Feb. 27, 2021	Feb. 26, 2022	Feb. 27, 2021
Commitments And Contingencies Disclosure [Abstract]
Operating cash flows from operating leases			$ 986	$ 430
Operating cash flows from financing leases			133	127
Finance cash flows from financing leases	$ 45	$ 45	$ 136	$ 136