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Calculation of Earnings Per Share - Schedule of Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		6 Months Ended
	Nov. 27, 2021	Nov. 28, 2020	Nov. 27, 2021	Nov. 27, 2021	Nov. 28, 2020	Nov. 28, 2020
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)	$ 4,122	$ 689	$ 6,757		$ (458)
Undistributed earnings (loss), Basic	3,330	(91)		$ 5,179		$ (2,018)
Undistributed earnings (loss), Diluted	$ 3,330	$ (91)		$ 5,179		$ (2,018)
Denominator for Basic and Diluted Earnings Per Share:
Effect of dilutive securities dilutive stock options	427	17		336
Weighted Average Number of Shares Outstanding, Diluted	11,697	11,128		11,568		11,090
Basic
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)	$ 4,122	$ 689		$ 6,757		$ (458)
Diluted
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)	4,122	689		6,757		(458)
Common Stock
Numerator for Basic and Diluted Earnings Per Share:
Undistributed earnings (loss), Basic	2,852	(78)		4,434		(1,725)
Undistributed earnings (loss), Diluted	$ 2,867	$ (78)		$ 4,453		$ (1,725)
Denominator for Basic and Diluted Earnings Per Share:
Weighted Average Number of Shares Outstanding, Basic	11,270	11,111	11,232	11,232	11,090	11,090
Weighted Average Number of Shares Outstanding, Diluted	11,697	11,128	11,568		11,090
Net income (loss) per share:
Earnings Per Share, Basic	$ 0.31	$ 0.05	$ 0.52	$ 0.52	$ (0.04)	$ (0.04)
Earnings Per Share, Diluted	$ 0.30	$ 0.05	$ 0.50	$ 0.50	$ (0.04)	$ (0.04)
Common Stock | Basic
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 679	$ 666		$ 1,352		$ 1,333
Common Stock | Diluted
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	679	666		1,352		1,333
Common Class B
Numerator for Basic and Diluted Earnings Per Share:
Undistributed earnings (loss), Basic	478	(13)		745		(293)
Undistributed earnings (loss), Diluted	$ 463	$ (13)		$ 726		$ (293)
Denominator for Basic and Diluted Earnings Per Share:
Weighted Average Number of Shares Outstanding, Basic	2,097	2,097	2,097	2,097	2,097	2,097
Weighted Average Number of Shares Outstanding, Diluted	2,097	2,097	2,097		2,097
Net income (loss) per share:
Earnings Per Share, Basic	$ 0.28	$ 0.05	$ 0.46	$ 0.46	$ (0.03)	$ (0.03)
Earnings Per Share, Diluted	$ 0.27	$ 0.05	$ 0.45	$ 0.45	$ (0.03)	$ (0.03)
Common Class B | Basic
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 113	$ 114		$ 226		$ 227
Common Class B | Diluted
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 113	$ 114		$ 226		$ 227

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