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Stock-Based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 03, 2016
Dec. 28, 2014
Dec. 29, 2013
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Plan activity adjustment period 5 years    
Number of shares available for grant (in shares) 2,738,086    
Tax benefit $ 3.0 $ 2.9 $ 2.3
Award vesting period 3 years    
Term to exercise stock option before expiration (not more than) 10 years    
Grants in period (in shares) 0 0 0
Outstanding (in shares) 12,000 33,000  
Unrecognized compensation cost, unvested stock options $ 0.0    
Exercises in period (in shares) 0 0 0
Windfall      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Excess tax benefit from share-based compensation, financing activities $ 0.2 $ 0.4 $ 0.5
Non-Employee Director      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Outstanding (in shares) 12,000    
Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation cost not yet recognized, period for recognition 2 years    
Granted (in shares) 375,000    
Maximum target percentage allowed under grant 200.00%    
Performance Shares, Financial Goals      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation cost, unvested restricted stock $ 3.3    
Weighted average grant date fair value (in dollars per share) $ 16.31    
Total nonvested shares (in shares) 287,896    
Granted (in shares) 250,000    
Maximum target percentage allowed under grant 200.00%    
Performance measurement period 1 year    
Additional requisite service period 2 years    
Actual percentage achieved 115.00%    
Actual shares achieved 287,896    
Performance Shares, Total Shareholder Return      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation cost, unvested restricted stock $ 1.4    
Granted (in shares) 125,000    
Maximum target percentage allowed under grant 200.00%    
Performance measurement period 3 years    
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) $ 16.01    
Restricted Stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation cost, unvested restricted stock $ 12.0    
Compensation cost not yet recognized, period for recognition 2 years    
Weighted average grant date fair value (in dollars per share) $ 16.30 $ 16.47  
Grants in period (in dollars per share) $ 15.85 $ 15.63 $ 19.74
Vested in period, fair value $ 5.4 $ 7.1 $ 6.5
Total nonvested shares (in shares) 885,882 1,192,550  
Granted (in shares) 320,357    
Award vesting period 4 years    
Stock-based compensation cost      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation cost $ 7.9 $ 7.6 $ 6.0
Class A common stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum number of shares available for grants 15.00%    
Maximum shares eligible to earn [Member] | Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted (in shares) 750,000    
Maximum shares eligible to earn [Member] | Performance Shares, Total Shareholder Return      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total nonvested shares (in shares) 250,000