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Stock-Based Compensation - Additional Information (Details) - USD ($)
12 Months Ended
Jan. 01, 2023
Dec. 31, 2022
Dec. 31, 2021
Oct. 07, 2022
Options [Member] | M-tron Industries, Inc. [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Cancelation of unvested shares       10,000
2021 Incentive Plan [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of shares authorized for issuance (in shares)   1,000,000    
2011 Incentive Plan [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of shares remaining available for future issuance (in shares)   975,188    
Restricted Stock [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation expense   $ 0    
Fair value of shares vested   $ 313,000 $ 314,000  
Shares vested   (30,000)    
Stock-based compensation (in shares)   53,489    
Weighted average grant date fair value of fully vested shares   $ 11.84    
Number of Shares, Canceled   (52,533)    
Restricted Stock [Member] | L G L Shares | M-tron Industries, Inc. [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Cancelation of unvested shares       52,533
Restricted Stock [Member] | Spin-Off [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of Shares, Canceled   (30,000)    
Restricted Stock [Member] | Vested Immediately [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Shares vested   (23,489)    
Restricted Stock [Member] | Subsequent Event [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Shares vested (3,750)      
Options [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Exercise price of options either at or above market price   10.00%    
Term of award   5 years    
Vesting period of award   3 years    
Stock-based compensation expense   $ 388,000 $ 413,000