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Stockholders' Equity and Stock-Based Compensation Fiscal 2019 and Fiscal 2021 LTIP PSU Awards (Details) - Performance Shares [Member] - 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
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Shares granted (in shares) 2,971 6,648 177,299 115,615 126,711 186,918 115,615 126,711
Performance period two           3 years    
PSUs earned may be reduced           30.00%    
Minimum [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Target percentage           0.00%    
Maximum [Member]                
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                
Target percentage           225.00%