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Significant Accounting Policies and Disclosures - Schedule of Property, Plant and Equipment (Details) - USD ($)
$ in Thousands
Jun. 01, 2019
Jun. 02, 2018
Accounting Policies [Abstract]    
Land and improvements $ 1,301 $ 1,301
Buildings and improvements 22,986 21,673
Computer, communications equipment and software 9,943 9,652
Construction in progress 979 1,582
Machinery and other equipment 13,884 12,004
Property, plant and equipment, gross 49,093 46,212
Accumulated depreciation (29,982) (27,980)
Property, plant, and equipment, net $ 19,111 $ 18,232