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Stock-Based Compensation - Additional Information (Details)
$ / shares in Units, $ in Thousands
12 Months Ended
May 01, 2020
USD ($)
d
$ / shares
shares
Jul. 03, 2022
USD ($)
$ / shares
shares
Jun. 27, 2021
USD ($)
$ / shares
shares
Jun. 28, 2020
USD ($)
$ / shares
shares
Oct. 24, 2018
shares
Oct. 23, 2013
shares
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Employee service share-based compensation, non vested awards, compensation cost not yet recognized | $   $ 2,538        
Employee service share-based compensation, non vested awards, compensation cost not yet recognized, period for recognition   1 year 7 months 6 days        
Employee service share-based compensation, tax benefit realized from exercise of stock options | $   $ 386 $ 297 $ 178    
Share-based compensation arrangement by share-based payment award, options, grants in period, gross   5,000 4,000 4,000    
Share-based compensation arrangement by share-based payment award, compensation expense | $   $ 110 $ 75 $ 100    
Common Stock [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Price attainment for consecutive trading days for vesting | d 10          
Stock Options [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, expiration period 10 years          
Share-based compensation arrangements by share-based payment award, options, grants in period, weighted average exercise price | $ / shares $ 11.74          
Stock Options [Member] | Share Based Compensation Award Vested One            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share based compensation arrangement by share-based payment award, options, vested, number of shares 100          
Grant date fair value | $ / shares $ 4.83          
Stock Options [Member] | Share Based Compensation Award Vested Two            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, expiration period 3 years          
Share based compensation arrangement by share-based payment award, options, vested, number of shares 100          
Grant date fair value | $ / shares $ 4.83          
Stock Options [Member] | Common Stock [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, options, grants in period, gross 533,000          
Stock Options [Member] | Common Stock [Member] | Share Based Compensation Award Vested One            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share based compensation arrangement by share-based payment award, options, vested, number of shares 100          
Grant date fair value | $ / shares $ 2.70          
Stock Options [Member] | Common Stock [Member] | Share Based Compensation Award Vested One | Minimum [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, expiration period 4 years          
Share based compensation arrangement by share based payment award options vested price attainment | $ $ 40          
Stock Options [Member] | Common Stock [Member] | Share Based Compensation Award Vested One | Maximum [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, expiration period 5 years          
Share based compensation arrangement by share based payment award options vested price attainment | $ $ 50          
Stock Options [Member] | Common Stock [Member] | Share Based Compensation Award Vested Two            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, expiration period 5 years          
Share based compensation arrangement by share-based payment award, options, vested, number of shares 233          
Grant date fair value | $ / shares $ 2.33          
Share based compensation arrangement by share based payment award options vested price attainment | $ $ 50          
Stock Options [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Employee service share-based compensation, non vested awards, compensation cost not yet recognized | $   $ 904        
Employee service share-based compensation, non vested awards, compensation cost not yet recognized, period for recognition   1 year 8 months 12 days        
Share-based compensation arrangement by share-based payment award, options, exercises in period, intrinsic value | $   $ 60 85 147    
Proceeds from stock options exercised | $   28 0 29    
Employee service share-based compensation, tax benefit realized from exercise of stock options | $   $ 8 $ 11 $ 20    
RSUs Issued to Key Employees [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants in period   80,000 73,000 127,000    
Service Period (years)   3 years        
Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants in period, weighted average grant date fair value | $ / shares   $ 23.45 $ 15.65 $ 19.74    
VSUs Issued to Non-Employee Directors [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants in period   32,000 37,000 24,000    
Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants in period, weighted average grant date fair value | $ / shares   $ 22.03 $ 15.91 $ 27.15    
PSUs Issued to Key Employees [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants in period   53,000        
Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants in period, weighted average grant date fair value | $ / shares   $ 23.27        
Share-based compensation arrangement by share-based payment award, equity instruments other than options, grants in period not expected to vest   53,000        
PSUs Issued to Key Employees [Member] | Minimum [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, vesting percentage   50.00%        
PSUs Issued to Key Employees [Member] | Maximum [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, vesting percentage   200.00%        
Restricted Stock Units R S U Vested Share Units V S U And Performance Share Units P S U            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, equity instruments other than options, vested and expected to vest, number   426,000        
Share-based compensation arrangement by share-based payment award, equity instruments other than options, aggregate intrinsic value, outstanding | $   $ 5,972        
Share-based compensation arrangement by share-based payment award, equity instruments other than options, vested, number   245,000        
Share-based compensation arrangement by share-based payment award, equity instruments other than options, aggregate intrinsic value, vested | $   $ 3,434        
Share-based compensation arrangement by share-based payment award, equity instruments other than options, converted in period, aggregate intrinsic value | $   1,715 $ 1,216 $ 1,708    
Employee service share-based compensation, tax benefit realized from exercise of stock options | $   260 $ 159 $ 206    
Restricted Stock Units (RSUs) and Performance Share Units (PSUs) [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Employee service share-based compensation, non vested awards, compensation cost not yet recognized | $   $ 1,634        
Employee service share-based compensation, non vested awards, compensation cost not yet recognized, period for recognition   1 year 7 months 6 days        
The 2013 Incentive Compensation Plan [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, Number of shares authorized           1,000,000
Expiration date   Oct. 24, 2018        
The Amended and Restated 2013 Incentive Compensation Plan [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Number of shares available for future issuance         1,250,000  
2020 Plan [Member]            
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]            
Share-based compensation arrangement by share-based payment award, Number of shares authorized   850,000        
Number of shares available for future issuance   601,000        
Inception date   Oct. 29, 2020