Earnings Per Share - Schedule of Antidilutive Securities and Outstanding Equity Awards (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		9 Months Ended
	Apr. 01, 2023	Apr. 02, 2022	Apr. 01, 2023	Apr. 02, 2022
Earnings Per Share [Abstract]
Net income	$ 1,976	$ 1,007	$ 4,094	$ 2,409
Weighted average shares outstanding — basic (in shares)	10,762	10,762	10,762	10,762
Effect of dilutive common stock options (in shares)	103	300	130	297
Weighted average shares outstanding — diluted (in shares)	10,865	11,062	10,892	11,059
Net income per share — basic (in dollars per share)	$ 0.18	$ 0.09	$ 0.38	$ 0.22
Net income per share — diluted (in dollars per share)	$ 0.18	$ 0.09	$ 0.38	$ 0.22
Antidilutive SARs not included in diluted earnings per share (in shares)	376	619	516	619