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. 31, 2022	Jan. 01, 2022	Dec. 31, 2022	Jan. 01, 2022
Earnings Per Share [Abstract]
Net income	$ 967	$ 587	$ 2,119	$ 1,402
Weighted average shares outstanding — basic (in shares)	10,762	10,762	10,762	10,762
Effect of dilutive common stock options (in shares)	70	295	70	293
Weighted average shares outstanding - Diluted (in shares)	10,832	11,057	10,832	11,055
Net income per share—basic (in USD per share)	$ 0.09	$ 0.05	$ 0.20	$ 0.13
Net income per share—diluted (in USD per share)	$ 0.09	$ 0.05	$ 0.20	$ 0.13
Antidilutive SARs not included in diluted earnings per share (in shares)	904	629	904	619