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Business Divestitures - Completed Divestitures (Details) - USD ($)
$ in Millions
9 Months Ended 12 Months Ended
Oct. 01, 2021
Oct. 02, 2020
Jan. 01, 2021
Jul. 02, 2021
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Net cash proceeds $ 7 $ 0    
Disposed of by Sale        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Sale price 1,653   $ 1,054  
Net cash proceeds 1,598   1,039  
Disposed of by Sale | Electron Devices business | Aviation Systems        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Sale price 185      
Net cash proceeds 173      
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 20      
Net cash proceeds 19      
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       $ 398
Net cash proceeds 347      
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       $ 1,050
Net cash proceeds $ 1,059      
Disposed of by Sale | EOTech | Communication Systems        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Sale price     42  
Net cash proceeds     40  
Disposed of by Sale | Applied Kilovolts business | Space and Airborne Systems        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Sale price     12  
Net cash proceeds     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     1,000  
Net cash proceeds     $ 987