Calculation of Earnings Per Share - Schedule of Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended
	Sep. 02, 2023	Aug. 27, 2022
Numerator for Basic and Diluted Earnings Per Share:
Net income	$ 1,227	$ 6,324
Undistributed earnings	384	5,505
Undistributed earnings	$ 384	$ 5,505
Denominator for Basic and Diluted Earnings Per Share:
Effect of dilutive securities dilutive stock options	368	616
Weighted Average Number of Shares Outstanding, Diluted	12,539	12,331
Basic
Numerator for Basic and Diluted Earnings Per Share:
Net income	$ 1,227	$ 6,324
Diluted
Numerator for Basic and Diluted Earnings Per Share:
Net income	1,227	6,324
Common Stock
Numerator for Basic and Diluted Earnings Per Share:
Undistributed earnings	333	4,755
Undistributed earnings	$ 335	$ 4,788
Denominator for Basic and Diluted Earnings Per Share:
Weighted Average Number of Shares Outstanding, Basic	12,171	11,715
Weighted Average Number of Shares Outstanding, Diluted	12,539	12,331
Net income per share:
Earnings Per Share, Basic	$ 0.09	$ 0.47
Net income per share:
Earnings Per Share, Diluted	$ 0.09	$ 0.45
Common Stock | Basic
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 732	$ 709
Common Stock | Diluted
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	732	709
Common Class B
Numerator for Basic and Diluted Earnings Per Share:
Undistributed earnings	51	750
Undistributed earnings	$ 49	$ 717
Denominator for Basic and Diluted Earnings Per Share:
Weighted Average Number of Shares Outstanding, Basic	2,052	2,053
Weighted Average Number of Shares Outstanding, Diluted	2,052	2,053
Net income per share:
Earnings Per Share, Basic	$ 0.08	$ 0.42
Net income per share:
Earnings Per Share, Diluted	$ 0.08	$ 0.4
Common Class B | Basic
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 111	$ 110
Common Class B | Diluted
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 111	$ 110