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Leases (Sale and Leaseback Agreement) (Details)
$ in Millions
1 Months Ended 3 Months Ended 11 Months Ended 12 Months Ended
Dec. 31, 2015
USD ($)
Jul. 26, 2013
USD ($)
Building
Jan. 01, 2016
USD ($)
Jan. 01, 2016
USD ($)
Jan. 02, 2015
USD ($)
Jan. 30, 2015
USD ($)
Jan. 31, 2014
USD ($)
May. 03, 2013
a
Building
Sale Leaseback Transaction [Line Items]                
Write off of other long term liabilities       $ 2 $ (1) $ (10) $ 2  
Proceeds from real estate financing transaction       0 0 0 38  
Gain (loss) on sale of properties     $ 82 82 $ 0 $ 0 $ (2)  
Write off of property disposed $ 40     $ 40        
May 2013 Sales Lease Back Agreement                
Sale Leaseback Transaction [Line Items]                
Area of land | a               18
Number of real estate properties | Building               4
Number of buildings leased back | Building   3            
Number of buildings sold | Building   2            
Proceeds from sale   $ 83            
Fairfax County, Virginia, Two Office Buildings                
Sale Leaseback Transaction [Line Items]                
Proceeds from sale   40            
Book value of the building sold   42            
Net loss on sales and disposals of assets   $ 2            
Term of lease   P6M            
Notes Payable, Other Payables                
Sale Leaseback Transaction [Line Items]                
Term of debt instrument   7 years            
Rate of interest   3.70%            
Amendment to the Original Purchase and Sale Agreement [Member]                
Sale Leaseback Transaction [Line Items]                
Proceeds from sale 75              
Allocated consideration to Note parable and Other long-term liabilities 20              
Write off of financing note payable 35              
Write off of other long term liabilities 5              
Discount on proceeds 5              
Proceeds from real estate financing transaction 95              
Lease termination fees 8              
Selling costs $ 5              
Other Long-term Liabilities | Multi-level Parking Garage                
Sale Leaseback Transaction [Line Items]                
Allocated consideration to Note parable and Other long-term liabilities   $ 1            
Other Long-term Liabilities | Surface Parking Lots                
Sale Leaseback Transaction [Line Items]                
Allocated consideration to Note parable and Other long-term liabilities   4            
Notes payable and long-term debt, net of current portion | Notes Payable, Other Payables                
Sale Leaseback Transaction [Line Items]                
Allocated consideration to Note parable and Other long-term liabilities   $ 38            
Leidos | Purchaser of the Property | Prepaid Before December 17, 2018 [Member]                
Sale Leaseback Transaction [Line Items]                
Debt Instrument, Redemption, Percentage of Accrued Interest 80.00%              
Leidos | Purchaser of the Property | Prepaid Prior to Maturity [Member]                
Sale Leaseback Transaction [Line Items]                
Debt Instrument, Redemption, Percentage of Accrued Interest 60.00%              
Notes Payable | Leidos | Purchaser of the Property                
Sale Leaseback Transaction [Line Items]                
Term of debt instrument 4 years              
Stated interest rate 0.50%              
Notes Payable | Leidos | Purchaser of the Property | Floor | 30 day LIBOR                
Sale Leaseback Transaction [Line Items]                
Variable interest rate       0.25%