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GOODWILL - Narrative (Details) - USD ($) |  | 3 Months Ended | 6 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | ---
Jun. 29, 2019 | Apr. 02, 2021 | Jan. 01, 2021 | Jul. 03, 2020 | Jan. 03, 2020 | Dec. 28, 2018 | Dec. 31, 2021 | Jan. 01, 2021 | Jan. 03, 2020 | Jun. 28, 2019 | Apr. 03, 2020
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |
Goodwill impairment | $ 0 |  |  |  |  |  | $ 62,000,000 | $ 480,000,000 |  |  |
Non-cash impairment charges for long-lived assets |  |  |  |  | $ 46,000,000 | $ 0 | 207,000,000 | 767,000,000 | $ 46,000,000 | $ 0 |
Impairment of marketable software |  |  |  |  | $ 46,000,000 |  | $ 244,000,000 | 767,000,000 |  | $ 0 |
Commercial Aviation Solutions |  |  |  |  |  |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |
Impairment of intangible assets |  |  | $ 113,000,000 |  |  |  |  |  |  |  |
Impairment charge for property, plant and equipment |  |  |  |  |  |  |  | 257,000,000 |  |  |
Commercial Aviation Solutions | COVID |  |  |  |  |  |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |
Goodwill impairment |  |  | 111,000,000 |  |  |  |  | 461,000,000 |  |  |
Goodwill impairment loss attributable to noncontrolling interests |  |  |  |  |  |  |  | 34,000,000 |  |  |
Non-cash impairment charges for long-lived assets |  |  | 257,000,000 |  |  |  |  |  |  |  |
Impairment charge for property, plant and equipment |  |  | 103,000,000 |  |  |  |  |  |  |  |
Impairment charge for ROU asset |  |  | 31,000,000 |  |  |  |  |  |  |  |
Impairment of marketable software |  |  | $ 10,000,000 |  |  |  |  |  |  |  |
CPS business | Disposal Group, Held-for-sale, Not Discontinued Operations |  |  |  |  |  |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |
Goodwill impairment |  | $ 62,000,000 |  |  |  |  |  |  |  |  |
CPS business | Aviation Systems | Disposal Group, Held-for-sale, Not Discontinued Operations |  |  |  |  |  |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |
Goodwill impairment |  | 62,000,000 |  |  |  |  |  |  |  |  |
Goodwill assigned to disposal group |  | $ 174,000,000 |  |  |  |  |  |  |  |  |
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 |  |  |  |  |  |  |  | $ 5,000,000 |  |  |
Goodwill assigned to disposal group |  |  |  |  |  |  |  |  |  |  | $ 6,000,000
VSE disposal group | Disposal Group, Held-for-sale, Not Discontinued Operations |  |  |  |  |  |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |
Goodwill impairment |  |  |  | $ 14,000,000 |  |  |  |  |  |  |
VSE disposal group | Aviation Systems | Disposal Group, Held-for-sale, Not Discontinued Operations |  |  |  |  |  |  |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |  |  |  |  |  |
Goodwill assigned to disposal group |  |  |  | $ 14,000,000 |  |  |  |  |  |  |

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