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Stockholders' Equity and Stock-Based Compensation Summary of the Company’s Non-vested Stock (Details) - $ / shares
12 Months Ended
Jan. 03, 2024
Aug. 07, 2023
May 11, 2023
Jan. 03, 2023
Jan. 03, 2022
Dec. 28, 2024
Dec. 30, 2023
Dec. 31, 2022
Stock Awards [Member]                
Summary of stock option activity [Roll Forward]                
Beginning 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
Shares granted (in shares)           162,913 168,924 124,416
Shares granted, Weighted Average Grant Date Fair Value (in dollars per share)           $ 49.01 $ 61.73 $ 70.67
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period           (131,600) (70,251) (35,337)
Shares vested, Weighted Average Grant Date Fair Value (in dollars per share)           $ 63.45 $ 65.03 $ 58.23
Forfeited in Period (in shares)           (2,847) (3,270) (6,764)
Shares forfeited, Weighted Average Grant Date Fair Value (in dollars per share)           $ 43.72 $ 62.55 $ 66.67
Ending balance nonvested (in shares)           294,118 265,652 170,249
Nonvested, Weighted Average Grant Date Fair Value (in usd per share)           $ 55.94 $ 63.78 $ 66.31
Performance Shares [Member]                
Summary of stock option activity [Roll Forward]                
Beginning 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
Shares granted (in shares) 244,376 2,971 6,648 177,299 115,615 244,376 186,918 115,615
Shares granted, Weighted Average Grant Date Fair Value (in dollars per share)           $ 53.43 $ 66.67 $ 75.13
Additional PSU awards vested from performance (in shares)           142,600 263,221 367,746
Shares vested, Weighted Average Grant Date Fair Value (in dollars per share)           $ 61.12 $ 31.80 $ 21.50
Stock issued for PSU's (in shares)           (257,918) (473,824) (1,429,198)
Stock issued for PSU's, Weighted Average Grant Date Fair Value (in dollars per share)           $ 61.14 $ 31.80 $ 15.87
Forfeited in Period (in shares)           (9,316) (11,078) (14,035)
Shares forfeited, Weighted Average Grant Date Fair Value (in dollars per share)           $ 65.62 $ 67.60 $ 57.54
Ending balance nonvested (in shares)           524,285 404,543 439,306
Nonvested, Weighted Average Grant Date Fair Value (in usd per share)           $ 62.24 $ 67.33 $ 50.58
Restricted Stock Units (RSUs) [Member]                
Summary of stock option activity [Roll Forward]                
Shares granted (in shares) 162,913 1,980 4,432 118,208 82,791   41,625