Significant Accounting Policies and Disclosures - Additional Information (Details)	3 Months Ended	12 Months Ended
	Dec. 02, 2017 USD ($)	Jun. 01, 2019 USD ($) Number $ / shares shares	Jun. 02, 2018 USD ($) $ / shares shares	May 27, 2017 USD ($) $ / shares shares	Sep. 12, 2017 USD ($)
Allowance for doubtful accounts		$ 339,000	$ 309,000
Foreign exchange loss		84,000	224,000	$ 612,000
Finished goods		47,200,000	42,600,000
Raw material		4,200,000	5,700,000
Work in progress		1,800,000	2,400,000
Inventory valuation reserves		4,600,000	4,000,000
Inventory provisions		1,076,000	773,000	456,000
Investments			0
Investments - current		8,000,000
Proceeds from the sale of securities			900,000	300,000
Gross realized gains and losses on sales			200,000	100,000
Net unrealized holding losses				100,000
Income tax provision (benefit)	$ 1,500,000
Professional fee	$ 500,000
Income tax refund					$ 2,000,000
Depreciation		2,900,000	2,600,000	2,400,000
Construction in progress		979,000	1,582,000
Other non-current liabilities		832,000	921,000
Share-based compensation expense		$ 697,000	533,000	437,000
Exercised | shares		46,000
Proceeds from share exercised		$ 300,000
Intrinsic value		$ 100,000	$ 100,000	$ 100,000
Weighted average fair value of stock option grants | $ / shares		$ 1.71	$ 0.85	$ 1.14
Total unrecognized compensation costs		$ 1,200,000
Total grant date fair value stock options vested		$ 400,000
Limit of cash dividends Class B common stock (percent)		90.00%
Common stock options anti-dilutive | shares		882,000	0	848,000
Common Stock
Common stock shares, authorized | shares		17,000,000
Common Class B
Common stock shares, authorized | shares		3,000,000
Number of votes per share | Number		10
Employees' 2011 Long-Term Incentive Compensation Plan
Number of shares authorized | shares		1,500,000
Number of shares for future issuance | shares		1,173,000
Healthcare
Construction in progress		$ 300,000
Maximum
Foreign exchange loss		$ 100,000
Period of recognition		4 years
Minimum
Period of recognition		2 years