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Stock-Based Compensation - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2024
Jan. 03, 2023
Dec. 28, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares available for grant 3,400,000    
Unrecognized compensation cost $ 7.2    
Period for recognition of compensation cost 2 years 6 months    
Stock options granted (in share) 0 0 0
Estimated average forfeiture rate (percent) 22.00%    
Stock options vested (in shares) 34,980 57,147 90,590
Estimated fair value of stock options vested $ 0.1 $ 0.3 $ 1.1
Share base compensation reversal due to executive officer departure 0.3    
Share base compensation reversal due to target performance not met 0.5    
General and Administrative Expense      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 4.3 4.4 4.3
Restricted share units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Restricted share units vested (in shares) 793,739    
Estimated fair value of restricted share units vested $ 3.4    
Performance Stock Units      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ (0.6) $ 0.9 $ 1.5
Performance period 3 years    
Performance Stock Units | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Eligible to vest range (percent) 0.00%    
Performance Stock Units | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Eligible to vest range (percent) 200.00%    
Stock Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based awards term ten years    
Share-based awards vesting period 4 years    
General Manager (GM) Equity Program      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based awards vesting period 3 years