GOODWILL - Narrative (Details) $ in Millions	3 Months Ended				12 Months Ended			24 Months Ended
	Sep. 30, 2022 USD ($)	Apr. 01, 2022 USD ($)	Apr. 02, 2021 USD ($)	Jan. 01, 2021 USD ($)	Dec. 30, 2022 USD ($) segment reportingUnit	Dec. 31, 2021 USD ($) segment reportingUnit	Jan. 01, 2021 USD ($)	Dec. 31, 2021 segment	Jul. 03, 2020 USD ($)	Apr. 03, 2020 USD ($)
Finite-Lived Intangible Assets [Line Items]
Number of reportable segments | segment					3	4		4
Number of operating segments | segment					3	4		4
Number of reporting units | reportingUnit					9	11
Goodwill impairment					$ 802	$ 62
Impairment of goodwill and other assets					802	207	$ 767
Impairment of marketable software					802	244	767
Impairment, Intangible Asset, Finite-Lived, Statement of Income or Comprehensive Income [Extensible Enumeration]				Impairment of goodwill and other assets
Aviation Systems
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment					0	$ 62
Disposal Group, Held-for-sale, Not Discontinued Operations
Finite-Lived Intangible Assets [Line Items]
Goodwill assigned to disposal group					30
Electro Optical Reporting Unit
Finite-Lived Intangible Assets [Line Items]
Goodwill, transfers	$ 325
Goodwill impairment					134
ADG Reporting Unit
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment					313
Broadband And Electro Optical Reporting Unit
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment					489
Broadcast Communications Reporting Unit
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment					$ 355
Commercial Aviation Solutions
Finite-Lived Intangible Assets [Line Items]
Impairment of intangible assets							113
Impairment charge for property, plant and equipment							257
Commercial Aviation Solutions | COVID
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment				$ 111			461
Goodwill impairment loss attributable to noncontrolling interests							34
Impairment of goodwill and other assets				257			257
Impairment charge for property, plant and equipment				103			103
Impairment charge for ROU asset				31
Impairment of marketable software				$ 10
CPS business | Disposal Group, Held-for-sale, Not Discontinued Operations
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment			$ 62
CPS business | Disposal Group, Held-for-sale, Not Discontinued Operations | Aviation Systems
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment			62
CPS business | Aviation Systems | Disposal Group, Held-for-sale, Not Discontinued Operations
Finite-Lived Intangible Assets [Line Items]
Goodwill assigned to disposal group			$ 174
Applied Kilovolts and Analytical Instrumentation Business | Space & Airborne Systems | Disposal Group, Held-for-sale, Not Discontinued Operations
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment							5
Goodwill assigned to disposal group										$ 6
VSE disposal group | Disposal Group, Held-for-sale, Not Discontinued Operations
Finite-Lived Intangible Assets [Line Items]
Goodwill impairment		$ 14					$ 14
VSE disposal group | Aviation Systems | Disposal Group, Held-for-sale, Not Discontinued Operations
Finite-Lived Intangible Assets [Line Items]
Goodwill assigned to disposal group									$ 14