Earnings Per Share - Schedule of Antidilutive Securities and Outstanding Equity Awards (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended
	Oct. 01, 2022	Oct. 02, 2021
Earnings Per Share [Abstract]
Net income	$ 1,152	$ 815
Weighted average shares outstanding — basic (in shares)	10,762,000	10,762,000
Effect of dilutive common stock options (in shares)	70,000	290,000
Weighted average shares outstanding - Diluted (in shares)	10,832,000	11,052,000
Net income per share—basic (in USD per share)	$ 0.11	$ 0.08
Net income per share—diluted (in USD per share)	$ 0.11	$ 0.07
Antidilutive SARs not included in diluted earnings per share (in shares)	904,000	629,000