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Summary of Significant Accounting Policies (Changes in Estimates on Contracts for the Periods Presented) (Details) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Jan. 03, 2025
Dec. 29, 2023
Dec. 30, 2022
Accounting Policies [Abstract]      
Favorable impact $ 184 $ 140 $ 146
Unfavorable impact (153) (100) (113)
Net favorable impact to income before income taxes $ 31 $ 40 $ 33
Impact on diluted EPS attributable to Leidos common stockholders (usd per share) $ 0.17 $ 0.22 $ 0.17