Income Taxes - Additional Information (Details) - USD ($)	3 Months Ended		9 Months Ended
	Feb. 26, 2022	Feb. 27, 2021	Feb. 26, 2022	Feb. 27, 2021	May 29, 2021
Operating Loss Carryforwards [Line Items]
Income tax provision	$ 609,000	$ 62,000	$ 1,326,000	$ 239,000
Liability for uncertain tax positions related to continuing operations, excluding interest and penalties	100,000		100,000		$ 100,000
Deferred tax valuation allowance	9,600,000		9,600,000		12,200,000
Maximum
Operating Loss Carryforwards [Line Items]
Deferred tax liability, undistributed earnings of foreign subsidiaries	$ 100,000		$ 100,000		$ 100,000