Calculation of Earnings Per Share - Schedule of Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		9 Months Ended
	Feb. 25, 2023	Feb. 26, 2022	Feb. 25, 2023	Feb. 26, 2022
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)	$ 6,340	$ 2,887	$ 18,213	$ 9,644
Undistributed earnings, Basic	5,506	2,081	15,729	7,260
Undistributed earnings, Diluted	$ 5,506	$ 2,081	$ 15,729	$ 7,260
Denominator for Basic and Diluted Earnings Per Share:
Effect of dilutive securities dilutive stock options	619	530	631	404
Weighted Average Number of Shares Outstanding, Diluted	12,666	12,027	12,524	11,724
Basic
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)	$ 6,340	$ 2,887	$ 18,213	$ 9,644
Diluted
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)	6,340	2,887	18,213	9,644
Common Stock
Numerator for Basic and Diluted Earnings Per Share:
Undistributed earnings, Basic	4,774	1,790	13,614	6,226
Undistributed earnings, Diluted	$ 4,805	$ 1,801	$ 13,707	$ 6,257
Denominator for Basic and Diluted Earnings Per Share:
Weighted Average Number of Shares Outstanding, Basic	12,047	11,497	11,893	11,320
Weighted Average Number of Shares Outstanding, Diluted	12,666	12,027	12,524	11,724
Net income per share:
Earnings Per Share, Basic	$ 0.46	$ 0.22	$ 1.33	$ 0.73
Earnings Per Share, Diluted	$ 0.44	$ 0.21	$ 1.27	$ 0.71
Common Stock | Basic
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 724	$ 695	$ 2,152	$ 2,047
Common Stock | Diluted
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	724	695	2,152	2,047
Common Class B
Numerator for Basic and Diluted Earnings Per Share:
Undistributed earnings, Basic	732	291	2,115	1,034
Undistributed earnings, Diluted	$ 701	$ 280	$ 2,022	$ 1,003
Denominator for Basic and Diluted Earnings Per Share:
Weighted Average Number of Shares Outstanding, Basic	2,052	2,074	2,053	2,089
Weighted Average Number of Shares Outstanding, Diluted	2,052	2,074	2,053	2,089
Net income per share:
Earnings Per Share, Basic	$ 0.41	$ 0.19	$ 1.19	$ 0.66
Earnings Per Share, Diluted	$ 0.40	$ 0.19	$ 1.15	$ 0.64
Common Class B | Basic
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 110	$ 111	$ 332	$ 337
Common Class B | Diluted
Numerator for Basic and Diluted Earnings Per Share:
Less dividends	$ 110	$ 111	$ 332	$ 337