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Summary of Significant Accounting Policies (Additional Information) (Detail) - USD ($)
3 Months Ended 6 Months Ended
Jul. 01, 2016
Jul. 03, 2015
Jul. 01, 2016
Jul. 03, 2015
Jan. 01, 2016
Significant Accounting Policies [Line Items]          
Increase (decrease) in income due to contract estimates $ 5,000,000 $ 5,000,000 $ 13,000,000 $ 10,000,000  
Increase (decrease) in income due to contract estimates per diluted share $ 0.04 $ 0.04 $ 0.11 $ 0.08  
Income tax expense $ 19,000,000 $ 15,000,000 $ 44,000,000 $ 15,000,000  
Cash flows provided by operating activities of continuing operations     58,000,000 109,000,000  
Cash flows used in financing activities of continuing operations     $ (61,000,000) (206,000,000)  
Leidos, Inc.          
Significant Accounting Policies [Line Items]          
Ownership interest (in percentage) 100.00%   100.00%    
Income tax expense $ 20,000,000 $ 17,000,000 $ 46,000,000 18,000,000  
Cash flows provided by operating activities of continuing operations     58,000,000 109,000,000  
Cash flows used in financing activities of continuing operations     (2,000,000) $ (47,000,000)  
Notes payable and long-term debt, net of current portion | Designated as Hedging Instrument | Interest rate swaps          
Significant Accounting Policies [Line Items]          
Fair value of long term debt 23,000,000   23,000,000   $ 8,000,000
Notes payable and long-term debt, net of current portion | Notes Which Mature In December 2020 | Designated as Hedging Instrument | Interest rate swaps          
Significant Accounting Policies [Line Items]          
Hedged instrument, face amount $ 450,000,000   $ 450,000,000    
Stated interest rate (in percentage) 4.45%   4.45%    
Fair value          
Significant Accounting Policies [Line Items]          
Fair value of long term debt $ 1,060,000,000   $ 1,060,000,000    
Carrying value          
Significant Accounting Policies [Line Items]          
Fair value of note receivable 95,000,000   95,000,000    
Fair value of long term debt 1,090,000,000   1,090,000,000    
Accounting Standards Update 2015-03 | Notes payable and long-term debt, net of current portion          
Significant Accounting Policies [Line Items]          
Debt issuance costs         $ 7,000,000
Accounting Standards Update 2016-09, Excess Tax Benefit Component | New Accounting Pronouncement, Early Adoption, Effect          
Significant Accounting Policies [Line Items]          
Effective income tax rate reconciliation, share-based compensation, excess tax benefit, amount $ 3,000,000   7,000,000    
Cash flows provided by operating activities of continuing operations     7,000,000    
Cash flows used in financing activities of continuing operations     $ (7,000,000)