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. 26, 2022	Feb. 26, 2022	Feb. 27, 2021	Feb. 26, 2022	Feb. 26, 2022	Feb. 27, 2021	Feb. 27, 2021
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)	$ 2,887	$ 2,887	$ 228		$ 9,644		$ (230)
Undistributed earnings (loss), Basic		2,081	(552)	$ 7,260		$ (2,570)
Undistributed earnings (loss), Diluted		$ 2,081	$ (552)	$ 7,260		$ (2,570)
Denominator for Basic and Diluted Earnings Per Share:
Effect of dilutive securities dilutive stock options		530	72	404
Weighted Average Number of Shares Outstanding, Diluted		12,027	11,183	11,724		11,097
Basic
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)		$ 2,887	$ 228	$ 9,644		$ (230)
Diluted
Numerator for Basic and Diluted Earnings Per Share:
Net income (loss)		2,887	228	9,644		(230)
Common Stock
Numerator for Basic and Diluted Earnings Per Share:
Undistributed earnings (loss), Basic		1,790	(472)	6,226		(2,196)
Undistributed earnings (loss), Diluted		$ 1,801	$ (472)	$ 6,257		$ (2,196)
Denominator for Basic and Diluted Earnings Per Share:
Weighted Average Number of Shares Outstanding, Basic		11,497	11,111	11,320	11,320	11,097	11,097
Weighted Average Number of Shares Outstanding, Diluted		12,027	11,183		11,724		11,097
Net income (loss) per share:
Earnings Per Share, Basic		$ 0.22	$ 0.02	$ 0.73	$ 0.73	$ (0.02)	$ (0.02)
Earnings Per Share, Diluted		$ 0.21	$ 0.02	$ 0.71	$ 0.71	$ (0.02)	$ (0.02)
Common Stock | Basic
Numerator for Basic and Diluted Earnings Per Share:
Less dividends		$ 695	$ 667	$ 2,047		$ 2,000
Common Stock | Diluted
Numerator for Basic and Diluted Earnings Per Share:
Less dividends		695	667	2,047		2,000
Common Class B
Numerator for Basic and Diluted Earnings Per Share:
Undistributed earnings (loss), Basic		291	(80)	1,034		(374)
Undistributed earnings (loss), Diluted		$ 280	$ (80)	$ 1,003		$ (374)
Denominator for Basic and Diluted Earnings Per Share:
Weighted Average Number of Shares Outstanding, Basic		2,074	2,097	2,089	2,089	2,097	2,097
Weighted Average Number of Shares Outstanding, Diluted		2,074	2,097		2,089		2,097
Net income (loss) per share:
Earnings Per Share, Basic		$ 0.19	$ 0.02	$ 0.66	$ 0.66	$ (0.02)	$ (0.02)
Earnings Per Share, Diluted		$ 0.19	$ 0.02	$ 0.64	$ 0.64	$ (0.02)	$ (0.02)
Common Class B | Basic
Numerator for Basic and Diluted Earnings Per Share:
Less dividends		$ 111	$ 113	$ 337		$ 340
Common Class B | Diluted
Numerator for Basic and Diluted Earnings Per Share:
Less dividends		$ 111	$ 113	$ 337		$ 340