BUSINESS DIVESTITURES AND ASSET SALES - Business Divestiture-Related Gain (Loss) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended	12 Months Ended
	Apr. 01, 2022	Apr. 02, 2021	Jan. 03, 2020	Dec. 30, 2022	Dec. 31, 2021	Jan. 01, 2021
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Goodwill impairment				$ 802	$ 62
Held-for-sale or Disposed of by Sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gains (losses), net					220	$ (51)
Held-for-sale or Disposed of by Sale | Narda-MITEQ business
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gains (losses), net					(9)	0
Held-for-sale or Disposed of by Sale | ESSCO business
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gains (losses), net					31	0
Held-for-sale or Disposed of by Sale | Electron Devices business
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gains (losses), net					31	0
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]
Total Business divestiture-related gains (losses), net					(29)	(18)
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]
Total Business divestiture-related gains (losses), net					(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]
Total Business divestiture-related gains (losses), net					217	0
Held-for-sale or Disposed of by Sale | EOTech
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gains (losses), net					0	2
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]
Total Business divestiture-related gains (losses), net					0	(23)
Held-for-sale or Disposed of by Sale | Other
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gains (losses), net					(2)	(12)
Held-for-sale or Disposed of by Sale | Harris Night Vision
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gains (losses), net			$ 229
Disposal Group, Held-for-sale, Not Discontinued Operations | VSE disposal group
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Goodwill impairment	$ 14					14
Disposal Group, Held-for-sale, Not Discontinued Operations | CPS business
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Goodwill impairment		$ 62
Disposal Group, Disposed of by Sale, Not Discontinued Operations | VSE disposal group
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Goodwill impairment						14
Disposal Group, Disposed of by Sale, Not Discontinued Operations | CPS business
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Goodwill impairment					$ 62
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]
Non-cash working capital adjustment to gain on sale of business						$ 12