Income Taxes - Additional Information (Details) - USD ($)	12 Months Ended
	Jun. 01, 2019	Jun. 02, 2018	May 27, 2017
Operating Loss Carryforwards [Line Items]
U.S. federal corporate tax rate	21.00%	29.20%	34.00%
Federal net operating loss	$ 3,100,000	$ 3,400,000
Foreign tax credits	1,800,000	500,000
Alternative minimum tax credit carryforward	0
Deferred tax liability, undistributed foreign earnings	200,000	300,000
Deferred tax valuation allowance	11,706,000	9,148,000
Change in valuation allowance	2,600,000
Income Taxes Paid, Net	300,000	500,000	$ 400,000
Liability for uncertain tax positions related to continuing operations, excluding interest and penalties	100,000	100,000
Lliability for interest and penalties	0	0
State and Local Jurisdiction
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards	3,900,000	3,900,000
Foreign Tax Authority
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards	$ 400,000	$ 600,000