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Common Stock, Stock Option Plans and Stock Compensation Agreements - Schedule Valuation Assumptions (Details)
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Weighted average assumptions of fair value of options      
Risk-free rate 1.98% 0.83% 1.47%
Expected volatility 18.00% 18.59% 15.33%
Expected life (in years) 7 years 7 years 7 years
Expected dividend yield 2.70% 2.50% 2.60%