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Business Divestitures - Narrative (Details)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Jul. 02, 2021
USD ($)
business
Jul. 31, 2020
USD ($)
May 15, 2020
USD ($)
May 04, 2020
USD ($)
Jul. 02, 2021
USD ($)
business
Apr. 02, 2021
USD ($)
Jul. 03, 2020
USD ($)
Apr. 03, 2020
USD ($)
Jul. 02, 2021
USD ($)
business
Jul. 03, 2020
USD ($)
Jan. 01, 2021
USD ($)
Feb. 23, 2021
USD ($)
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Net cash proceeds from sale of business, after selling costs and estimated price adjustments                 $ 4 $ 0    
Pre-tax loss recognized to reduce fair value of assets of disposal group         $ 63   $ 14   125 19    
Non-cash goodwill impairment charge                 62 369    
Business divestiture-related gains (losses)         180   (49)   165 (52)    
Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Non-cash goodwill impairment charge                 62 364    
Communication Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Non-cash goodwill impairment charge                 0 0    
Space and Airborne Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Non-cash goodwill impairment charge                 0 5    
Held-for-sale                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Goodwill assigned to disposal group $ 26       26       26      
Assets of disposal group held for sale 479       479       479      
Liabilities of disposal group held for sale 243       243       243      
Held-for-sale | Electron Devices business                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Goodwill assigned to disposal group 15       15       15      
Assets of disposal group held for sale 309       309       309      
Liabilities of disposal group held for sale 180       180       180      
Held-for-sale | Electron Devices business | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Sale price of business 185       185       185      
Held-for-sale | Aerospace disposal group                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Goodwill assigned to disposal group 11       11       11      
Assets of disposal group held for sale 155       155       155      
Liabilities of disposal group held for sale $ 61       $ 61       $ 61      
Held-for-sale | Aerospace disposal group | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Number of businesses classified as held-for-sale | business 2       2       2      
Held-for-sale | VSE disposal group                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Goodwill assigned to disposal group $ 0       $ 0   14   $ 0 14    
Business divestiture-related gains (losses)             18          
Assets of disposal group held for sale 15       15       15      
Liabilities of disposal group held for sale 2       2       2      
Held-for-sale | VSE disposal group | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Goodwill assigned to disposal group             14     14    
Non-cash goodwill impairment charge             14       $ 14  
Held-for-sale | VSE disposal group | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Pre-tax loss recognized to reduce fair value of assets of disposal group                     32  
Non-cash remeasurement loss recognized on remaining assets of disposal group                     18  
Assets of disposal group held for sale                     35  
Liabilities of disposal group held for sale                     $ 13  
Held-for-sale | CPS business | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Non-cash goodwill impairment charge           $ 62            
Held-for-sale or Disposed of by Sale                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Business divestiture-related gains (losses)         180   (49)   165 (52)    
Held-for-sale or Disposed of by Sale | VSE disposal group                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Business divestiture-related gains (losses)         (18)   (14)   (26) (14)    
Held-for-sale or Disposed of by Sale | VSE disposal group | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Sale price of business                       $ 20
Held-for-sale or Disposed of by Sale | CPS business                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Business divestiture-related gains (losses)         (12)   0   (19) 0    
Held-for-sale or Disposed of by Sale | Military training business                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Business divestiture-related gains (losses)         212   0   212 0    
Held-for-sale or Disposed of by Sale | Airport security and automation business                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Business divestiture-related gains (losses)         0   $ (23)   0 $ (26)    
Disposed of by Sale | VSE disposal group | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Net cash proceeds from sale of business, after selling costs and estimated price adjustments 2                      
Disposed of by Sale | CPS business | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Goodwill assigned to disposal group           $ 174            
Disposed of by Sale | CPS business | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Sale price of business 398       398       398      
Net cash proceeds from sale of business, after selling costs and estimated price adjustments 347                      
Accrued selling costs 6       6       6      
Disposed of by Sale | Military training business | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Sale price of business 1,050       1,050       1,050      
Net cash proceeds from sale of business, after selling costs and estimated price adjustments 1,057                      
Accrued selling costs $ 17       $ 17       $ 17      
Disposed of by Sale | EOTech Business | Communication Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Sale price of business   $ 42                    
Net cash proceeds from sale of business, after selling costs and estimated price adjustments   $ 40                    
Disposed of by Sale | 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]                        
Non-cash goodwill impairment charge               $ 5        
Disposed of by Sale | 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]                        
Net cash proceeds from sale of business, after selling costs and estimated price adjustments     $ 12                  
Disposed of by Sale | Airport security and automation business | Aviation Systems                        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                        
Sale price of business       $ 1,000                
Net cash proceeds from sale of business, after selling costs and estimated price adjustments       $ 987