Income Taxes - Additional Information (Details) - USD ($)	3 Months Ended		9 Months Ended
	Feb. 25, 2023	Feb. 26, 2022	Feb. 25, 2023	Feb. 26, 2022	May 28, 2022
Operating Loss Carryforwards [Line Items]
Income tax provision	$ 1,655,000	$ 609,000	$ 5,281,000	$ 1,326,000
Effective income tax provision rate			22.50%	12.10%
Federal statutory rate			21.00%
Deferred tax liability, undistributed earnings of foreign subsidiaries	0		$ 0		$ 100,000
Liability for uncertain tax positions related to continuing operations, excluding interest and penalties	100,000		100,000		$ 100,000
Deferred tax valuation allowance	3,400,000	$ 9,600,000	3,400,000	$ 9,600,000
Foreign tax credits	1,800,000		1,800,000
German Audit | Maximum
Operating Loss Carryforwards [Line Items]
Income tax provision			100,000
State and Local Jurisdiction
Operating Loss Carryforwards [Line Items]
Valuation allowance pertaining to deferred tax assets	200,000		200,000
Foreign Tax Authority
Operating Loss Carryforwards [Line Items]
Valuation allowance pertaining to deferred tax assets	$ 1,400,000		$ 1,400,000