Business Divestitures - Pre-tax Business Divestiture-related Gain (Loss) (Details) - USD ($) $ in Millions	3 Months Ended			9 Months Ended		12 Months Ended
	Oct. 01, 2021	Apr. 02, 2021	Oct. 02, 2020	Oct. 01, 2021	Oct. 02, 2020	Jan. 01, 2021
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gain (losses)	$ 27		$ (10)	$ 192	$ (62)
Non-cash goodwill impairment charge				62	369
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 gain (losses)	27		(10)	192	(62)
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 gain (losses)	(4)		(10)	(30)	(24)
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 gain (losses)	29		0	29	0
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 gain (losses)	0		0	(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 gain (losses)	2		0	214	0
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 gain (losses)	0		(2)	0	(28)
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 gain (losses)	$ 0		$ 2	$ (2)	(10)
Held-for-sale | VSE disposal group
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Total Business divestiture-related gain (losses)						$ 18
Held-for-sale | VSE disposal group | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Non-cash goodwill impairment charge					$ 14
Held-for-sale | CPS business | Aviation Systems
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Non-cash goodwill impairment charge		$ 62
Disposed of by Sale | Other
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Non-cash working capital adjustment to decrease gain initially recognized on sale of business						$ 12