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Lease Obligations and Other Commitments - Schedule of Cash Outflows of Leasing Activity (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Nov. 27, 2021
Nov. 28, 2020
Nov. 27, 2021
Nov. 28, 2020
Commitments And Contingencies Disclosure [Abstract]        
Operating cash flows from operating leases     $ 1,303 $ 549
Operating cash flows from financing leases     88 84
Finance cash flows from financing leases $ 46 $ 46 $ 91 $ 91