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Stockholders' Equity and Stock-Based Compensation Summary of the Company’s Non-vested Stock (Details) - $ / shares
12 Months Ended
Aug. 07, 2023
May 11, 2023
Jan. 03, 2023
Jan. 03, 2022
Jan. 04, 2021
Dec. 30, 2023
Dec. 31, 2022
Jan. 01, 2022
Stock Awards [Member]                
Summary of stock option activity [Roll Forward]                
Beginning balance nonvested (in shares)           170,249 87,934 11,375
Nonvested, Weighted Average Grant Date Fair Value (in usd per share)           $ 66.31 $ 56.93 $ 35.00
Shares granted (in shares)           168,924 124,416 90,689
Shares granted, Weighted Average Grant Date Fair Value (in dollars per share)           $ 61.73 $ 70.67 $ 56.93
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period           (70,251) (35,337) (11,545)
Shares vested, Weighted Average Grant Date Fair Value (in dollars per share)           $ 65.03 $ 58.23 $ 35.32
Forfeited in Period (in shares)           (3,270) (6,764) (2,585)
Shares forfeited, Weighted Average Grant Date Fair Value (in dollars per share)           $ 62.55 $ 66.67 $ 56.93
Ending balance nonvested (in shares)           265,652 170,249 87,934
Nonvested, Weighted Average Grant Date Fair Value (in usd per share)           $ 63.78 $ 66.31 $ 56.93
Performance Shares [Member]                
Summary of stock option activity [Roll Forward]                
Beginning balance nonvested (in shares)           439,306 1,399,178 2,203,078
Nonvested, Weighted Average Grant Date Fair Value (in usd per share)           $ 50.58 $ 20.82 $ 14.80
Shares granted (in shares) 2,971 6,648 177,299 115,615 126,711 186,918 115,615 126,711
Shares granted, Weighted Average Grant Date Fair Value (in dollars per share)           $ 66.67 $ 75.13 $ 61.12
Additional PSU awards vested from performance (in shares)           263,221 367,746 367,109
Shares vested, Weighted Average Grant Date Fair Value (in dollars per share)           $ 31.80 $ 21.50 $ 20.60
Stock issued for PSU's (in shares)           (473,824) (1,429,198) (1,276,120)
Stock issued for PSU's, Weighted Average Grant Date Fair Value (in dollars per share)           $ 31.80 $ 15.87 $ 14.17
Forfeited in Period (in shares)           (11,078) (14,035) (21,600)
Shares forfeited, Weighted Average Grant Date Fair Value (in dollars per share)           $ 67.60 $ 57.54 $ 32.45
Ending balance nonvested (in shares)           404,543 439,306 1,399,178
Nonvested, Weighted Average Grant Date Fair Value (in usd per share)           $ 67.33 $ 50.58 $ 20.82
Restricted Stock Units (RSUs) [Member]                
Summary of stock option activity [Roll Forward]                
Shares granted (in shares) 1,980 4,432 118,208 82,791 90,689   41,625