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Stock-Based Compensation (Details Textual) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 31, 2024
Apr. 02, 2023
Mar. 31, 2024
Apr. 02, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Share based compensation arrangement by share based payment award number of shares authorized 2,250,000   2,250,000  
Shares of common stock available for grant 360,185   360,185  
Options, granted 0 0 0 0
Employee Stock Option        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Options expires after date of grant     10 years  
Employee Stock Option | Minimum        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period after the date of grant     1 year  
Employee Stock Option | Maximum        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period after the date of grant     4 years  
Restricted stock        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Unrecognized compensation cost related to unvested restricted stock grants $ 1.2   $ 1.2  
Weighted average period over which unrecognized compensation is expected to be recognized     10 months 24 days  
Restricted stock | Minimum        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period after the date of grant     1 year  
Restricted stock | Maximum        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period after the date of grant     3 years