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Income Taxes (Components of Foreign Income Tax Provision) (Details) - USD ($)
$ in Millions
 12 Months Ended
Jan. 02, 2026
Jan. 03, 2025
Dec. 29, 2023
Operating Loss Carryforwards [Line Items]      
Foreign provision for income taxes $ (83) $ (105) $ (79)
United Kingdom      
Operating Loss Carryforwards [Line Items]      
Foreign provision for income taxes (32) (37) (32)
Australia      
Operating Loss Carryforwards [Line Items]      
Foreign provision for income taxes (12) (19) (13)
Middle East      
Operating Loss Carryforwards [Line Items]      
Foreign provision for income taxes (17) (18) (12)
Asia      
Operating Loss Carryforwards [Line Items]      
Foreign provision for income taxes (13) (18) (8)
Other      
Operating Loss Carryforwards [Line Items]      
Foreign provision for income taxes $ (9) $ (13) $ (14)