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Stock-Based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 03, 2021
Dec. 29, 2019
Dec. 30, 2018
Feb. 14, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Plan activity adjustment period - Evergreen provision 5 years      
Number of shares available for grant (in shares) - Fixed provision 3,300,000      
Tax benefit $ 0.4 $ 1.3 $ 4.4  
Restricted Stock        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Award vesting period 4 years      
Unrecognized compensation cost, unvested restricted stock $ 4.1      
Compensation cost not yet recognized, period for recognition 1 year 7 months 6 days      
Grants in period (in dollars per share) $ 15.97 $ 24.76 $ 28.79  
Vested in period, fair value $ 2.4 $ 3.3 $ 4.9  
Granted (in shares) 80,000      
Weighted average grant date fair value (in dollars per share) $ 22.74 $ 24.92    
Total nonvested shares (in shares) 281,000 360,000    
Performance Shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Granted (in shares)   260,000 222,000  
Performance measurement period 3 years 3 years 3 years  
Performance Shares, Total Shareholder Return        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation cost, unvested restricted stock $ 0.0      
Compensation cost not yet recognized, period for recognition 0 days      
Grants in period (in dollars per share) $ 0      
Vested in period, fair value $ 0.0      
Granted (in shares) 0   59,000  
Performance measurement period 3 years 3 years 3 years  
Weighted average grant date fair value (in dollars per share) $ 31.38 $ 25.24    
Total nonvested shares (in shares) 47,000 114,000    
Performance Shares, Total Shareholder Return | Monte Carlo Fair Value        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Weighted average grant date fair value (in dollars per share)       $ 31.38
Performance Shares, Single Financial Goal        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Award vesting period 4 years 4 years 4 years  
Granted (in shares) 114,564 53,000 45,000  
Performance measurement period 1 year 1 year 1 year  
Performance Shares, Financial Goals        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized compensation cost, unvested restricted stock $ 2.6      
Compensation cost not yet recognized, period for recognition 2 years 6 months      
Vested in period, fair value $ 1.8      
Granted (in shares)     118,000  
Weighted average grant date fair value (in dollars per share) $ 22.59 $ 25.54   $ 28.40
Stock-based compensation cost        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock-based compensation cost $ 3.9 $ 5.6 $ 8.1  
Class A common stock        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Maximum number of shares available for grants - Evergreen provision 15.00%      
Maximum number of shares available for grants - Fixed provision 4,700,000      
Performance shares eligible to earn more than target | Performance Shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Granted (in shares)   207,000 177,000  
Maximum shares eligible to earn | Performance Shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Granted (in shares)   413,000 355,000  
Maximum target percentage allowed under grant   200.00% 200.00%  
2019 grant | Maximum shares eligible to earn | Performance Shares        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Total nonvested shares (in shares) 264,160      
2018 grant | Performance Shares, Financial Goals        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Weighted average grant date fair value (in dollars per share) $ 16.99