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Income Taxes (Components of Income (Loss) before Income Tax) (Details) - USD ($)
$ in Millions
 12 Months Ended
Jan. 02, 2026
Jan. 03, 2025
Dec. 29, 2023
Operating Loss Carryforwards [Line Items]      
United States $ 270 $ 99 $ (464)
Foreign 344 409 299
Income (loss) from continuing operations before income taxes 614 508 (165)
United Kingdom      
Operating Loss Carryforwards [Line Items]      
Foreign 150 161 133
Australia      
Operating Loss Carryforwards [Line Items]      
Foreign 30 45 49
Middle East      
Operating Loss Carryforwards [Line Items]      
Foreign 64 61 45
Asia      
Operating Loss Carryforwards [Line Items]      
Foreign 55 100 48
Other      
Operating Loss Carryforwards [Line Items]      
Foreign $ 45 $ 42 $ 24