Earnings Per Share - Schedule of Antidilutive Securities and Outstanding Equity Awards (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended		6 Months Ended
	Dec. 30, 2023	Dec. 31, 2022	Dec. 30, 2023	Dec. 31, 2022
Earnings Per Share [Abstract]
Net income	$ 1,084	$ 967	$ 1,419	$ 2,119
Weighted average shares outstanding — basic (in shares)	10,762	10,762	10,762	10,762
Effect of dilutive common stock awards (in shares)	127	70	127	70
Weighted average shares outstanding—diluted (in shares)	10,889	10,832	10,889	10,832
Net income per share—basic (in USD per share)	$ 0.10	$ 0.09	$ 0.13	$ 0.20
Net income per share—diluted (in USD per share)	$ 0.10	$ 0.09	$ 0.13	$ 0.20
Antidilutive SARs not included in diluted earnings per share (in shares)	525	904	525	904