Significant Accounting Policies and Disclosures - Additional Information (Details) $ / shares in Units, $ in Thousands	12 Months Ended
	Jun. 01, 2024 USD ($) Number $ / shares shares	May 27, 2023 USD ($) $ / shares shares	May 28, 2022 USD ($) $ / shares shares
Significant Accounting Policies and Disclosures [Line Items]
Accounts receivable, net	$ 24,845	$ 30,067
Allowance for credit losses	323	191
Foreign exchange (gain) loss	436	278	$ 273
Finished goods	93,900	93,400
Raw material	12,200	11,800
Work in progress	4,000	5,200
Inventory valuation reserves	6,000	5,900
Inventory provisions	606	466	462
Depreciation	4,000	3,400	3,200
Construction in progress	2,216	4,437
Other non-current liabilities	781	612
Share-based compensation expense	$ 1,326	$ 936	$ 654
Stock option vesting period	5 years
Option terms to exercise	10 years
Exercised | shares	74,822,000
Proceeds from share exercised	$ 600
Weighted average fair value of stock option grants | $ / shares	$ 6.33	$ 5.44	$ 1.5
Total unrecognized compensation costs	$ 2,500
Total grant date fair value stock options vested	$ 500
Limit of cash dividends Class B common stock (percent)	90.00%
Common stock options anti-dilutive | shares	0	0	0
ASU 2016-13
Significant Accounting Policies and Disclosures [Line Items]
Change in Accounting Principle, Accounting Standards Update, Adoption Date	May 28, 2023
Change in Accounting Principle, Accounting Standards Update, Adopted [true false]	true
Change in Accounting Principle, Accounting Standards Update, Immaterial Effect [true false]	true
Common Stock
Significant Accounting Policies and Disclosures [Line Items]
Common stock shares, authorized | shares	17,000,000
Common Class B
Significant Accounting Policies and Disclosures [Line Items]
Common stock shares, authorized | shares	3,000,000
Number of votes per share | Number	10
Employees' 2011 Long-Term Incentive Compensation Plan
Significant Accounting Policies and Disclosures [Line Items]
Number of shares authorized | shares	3,500,000
Number of shares for future issuance | shares	756,000
Option exercisable period	5 years
Facilities
Significant Accounting Policies and Disclosures [Line Items]
Construction in progress	$ 600
Manufacturing Facilities
Significant Accounting Policies and Disclosures [Line Items]
Construction in progress	600
IT systems
Significant Accounting Policies and Disclosures [Line Items]
Construction in progress	$ 1,000
Maximum
Significant Accounting Policies and Disclosures [Line Items]
Services revenue recognized as percentage of aggregate revenue	5.00%
Intrinsic value	$ 300	$ 4,700	$ 1,900
Period of recognition	4 years
Maximum | Employees' 2011 Long-Term Incentive Compensation Plan
Significant Accounting Policies and Disclosures [Line Items]
Option terms to exercise	10 years
Minimum
Significant Accounting Policies and Disclosures [Line Items]
Period of recognition	2 years