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Guarantees and Other Commitments and Contingencies IT Services Agreement (Details) - IT Services Agreement - USD ($)
$ in Thousands
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Long-term Purchase Commitment      
Purchase Obligation, Purchases During Period $ 18,780 $ 20,053 $ 16,961
Purchase Obligation, Due in Next Twelve Months 14,700    
Purchase Obligation, Due in Second Year 13,800    
Purchase Obligation, Due in Third Year 7,100    
Accrued expenses and other current liabilities      
Long-term Purchase Commitment      
Amount Due from (to) Vendors for Purchase and Capital Commitments $ (1,395)