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Unapproved Change Orders and Claims Against Clients (Schedule of Unapproved Change Orders and Claims) (Details) - USD ($)
$ in Millions
 12 Months Ended
Jan. 02, 2026
Jan. 03, 2025
Unapproved Change Orders [Roll Forward]    
Amounts included in project estimates-at-completion at beginning of fiscal year $ 104 $ 74
Net increase in project estimates 67 57
Resolution of claim 0 (27)
Approved change orders (146) 0
Amounts included in project-related estimates-at-completion at end of fiscal year 25 104
Amounts recognized over time based on progress $ 13 $ 100