BUSINESS DIVESTITURES AND ASSET SALES - Sale Price and Net Cash Proceeds of Completed Divestitures (Details) - Disposal Group, Disposed of by Sale, Not Discontinued Operations - USD ($) $ in Millions	Dec. 31, 2021	Jan. 01, 2021	Jan. 03, 2020
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price	$ 1,783	$ 1,054	$ 370
Narda-MITEQ business | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price	75
ESSCO business | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price	55
Electron Devices business | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price	185
VSE disposal group | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price	20
CPS business | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price	398
Military training business | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price	$ 1,050
EOTech | Communication Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price		42
Applied Kilovolts and Analytical Instrumentation Business | Space & Airborne Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price		12
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
Harris Night Vision
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price			350
Stormscope | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Sale Price			$ 20