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BUSINESS DIVESTITURES AND ASSET SALES (Details) - USD ($)
3 Months Ended 6 Months Ended 9 Months Ended 12 Months Ended
Jul. 31, 2020
May 15, 2020
May 04, 2020
Sep. 13, 2019
Aug. 30, 2019
Jun. 29, 2019
Jul. 03, 2020
Apr. 03, 2020
Jan. 03, 2020
Oct. 02, 2020
Jan. 01, 2021
Jun. 28, 2019
Jun. 29, 2018
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Proceeds from sales of businesses, net                 $ 343,000,000   $ 1,040,000,000 $ 0 $ 0
Pre-tax gain (loss) on sale of disposal group                 12,000,000   0 0 0
Goodwill impairment loss           $ 0       $ 480,000,000      
Space and Airborne Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Goodwill impairment loss                   5,000,000      
Aviation Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Goodwill impairment loss                   $ 475,000,000      
Disposal Group, Disposed of by Sale, Not Discontinued Operations | EOTech Business                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Cash price on sale of business $ 42,000,000                        
Proceeds from sales of businesses, net 40,000,000                        
Pre-tax gain (loss) on sale of disposal group $ 2,000,000                        
Disposal Group, Disposed of by Sale, Not Discontinued Operations | EOTech Business | Communication Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Goodwill impairment loss               $ 0          
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Applied Kilovolts and Analytical Instrumentation Business | Space and Airborne Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Proceeds from sales of businesses, net   $ 12,000,000                      
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Applied Kilovolts and Analytical Instrumentation Business | Space and Airborne Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Goodwill impairment loss               5,000,000          
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Airport Security and Automation Business | Aviation Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Cash price on sale of business     $ 1,000,000,000                    
Proceeds from sales of businesses, net     $ 987,000,000                    
Pre-tax gain (loss) on sale of disposal group                     (23,000,000)    
Income before taxes of disposal group                 27,000,000        
Goodwill assigned to disposal group               531,000,000          
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Airport Security and Automation Business | Aviation Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Goodwill impairment loss               $ 0          
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Harris Night Vision                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Income before taxes of disposal group                       $ 27,000,000 $ 20,000,000
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Harris Night Vision | L3Harris                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Cash price on sale of business       $ 350,000,000                  
Proceeds from sales of businesses, net       $ 343,000,000                  
Pre-tax gain (loss) on sale of disposal group                 229,000,000        
Non-cash working capital adjustment to gain on sale of business                     12,000,000    
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Stormscope                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Pre-tax gain on sale of asset group                 $ 12,000,000        
Disposal Group, Disposed of by Sale, Not Discontinued Operations | Stormscope | L3Harris                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Proceeds from sale of asset group         $ 20,000,000                
Disposal Group, Held-for-sale, Not Discontinued Operations | VSE | Aviation Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Goodwill assigned to disposal group             $ 14,000,000            
Assets of disposal group held for sale                     35,000,000    
Liabilities of disposal group held for sale                     13,000,000    
Disposal Group, Held-for-sale, Not Discontinued Operations | VSE | Aviation Systems                          
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                          
Goodwill impairment loss             $ 14,000,000            
Loss recognized to reduce fair value of assets of disposal group                     32,000,000    
Non-cash remeasurement loss recognized on remaining assets of disposal group                     $ 18,000,000