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Stock-Based Compensation - Stock Options (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 12 Months Ended
Jan. 02, 2024
Jan. 03, 2023
Dec. 28, 2021
Stock options      
Stock-Based Compensation      
Weighted-average fair value at the grant date for options issued (in dollars per share) $ 15.76    
Weighted average assumptions under Black-Scholes valuation model      
Expected option term 6 years 8 months 12 days    
Expected stock price volatility (as a percent) 45.20%    
Risk-free interest rate (as a percent) 4.00%    
Dividend yield (as a percent) 2.70%    
Stock option activity, Shares      
Outstanding at beginning of year (in shares) 1,685    
Granted (in shares) 40    
Exercised (in shares) 0    
Forfeited or cancelled (in shares) (175)    
Outstanding at end of the period (in shares) 1,550 1,685  
Exercisable at end of the period (in shares) 1,199    
Weighted Average Exercise Price      
Outstanding at beginning of year (in dollars per share) $ 46.11    
Granted (in dollars per share) 40.42    
Forfeited or cancelled (in dollars per share) 48.01    
Outstanding at end of the period (in dollars per share) 45.75 $ 46.11  
Exercisable at end of the period (in dollars per share) $ 47.11    
Weighted Average Remaining Contractual Term (In years)      
Weighted Average Remaining Contractual Term (In years) 3 years 9 months 18 days 4 years 2 months 12 days  
Exercisable at end of the period (In years) 3 years 1 month 6 days    
Aggregate Intrinsic Value      
Outstanding at beginning of year $ 0    
Outstanding at end of the period 0 $ 0  
Exercisable at end of the period 0    
Total intrinsic value of options exercised   $ 4,900 $ 7,100
Unrecognized Stock-based Compensation Expense      
Total unrecognized stock-based compensation expenses related to unvested stock options, restricted shares and restricted share units $ 1,500    
Expected weighted average period for recognition of compensation expense related to unvested stock option 1 year 3 months 18 days    
Restricted Shares and Restricted Share Units      
Restricted Shares and Restricted Share Units, Shares      
Outstanding at beginning of year (in shares) 2,512    
Granted (in shares) 1,005    
Vested (in shares) (501)    
Forfeited (in shares) (130)    
Outstanding at end of the period (in shares) 2,886 2,512  
Fair value of shares vested $ 21,800 $ 18,500 $ 15,400
Weighted Average Fair Value      
Outstanding at beginning of year (in dollars per share) $ 41.93    
Granted (in dollars per share) 37.73 $ 36.84 $ 49.57
Vested (in dollars per share) 43.59    
Forfeited (in dollars per share) 39.77    
Outstanding at end of the period (in dollars per share) $ 40.28 $ 41.93  
Unrecognized Stock-based Compensation Expense      
Total unrecognized stock-based compensation expenses related to unvested stock options, restricted shares and restricted share units $ 57,100    
Expected weighted average period for recognition of compensation expense related to unvested stock option 2 years 10 months 24 days