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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
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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

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