Goodwill and Intangible Assets (Schedule of intangible assets) (Details) - USD ($) $ in Millions	Jul. 03, 2020	Jan. 03, 2020
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross carrying value	$ 1,975	$ 1,151
Finite-lived intangible assets, accumulated amortization	(719)	(625)
Finite-lived intangible assets, net carrying value	1,256	526
Total intangible assets, gross carrying value	1,979	1,155
Total intangible assets, net carrying value	1,260	530
Trade names
Acquired Finite-Lived Intangible Assets [Line Items]
Indefinite-lived intangible assets	4	4
Programs
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross carrying value	1,620	1,003
Finite-lived intangible assets, accumulated amortization	(608)	(536)
Finite-lived intangible assets, net carrying value	1,012	467
Software and technology
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross carrying value	253	102
Finite-lived intangible assets, accumulated amortization	(88)	(83)
Finite-lived intangible assets, net carrying value	165	19
Customer relationships
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross carrying value	45	45
Finite-lived intangible assets, accumulated amortization	(8)	(6)
Finite-lived intangible assets, net carrying value	37	39
Backlog
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross carrying value	33	0
Finite-lived intangible assets, accumulated amortization	(14)	0
Finite-lived intangible assets, net carrying value	19	0
Trade names
Acquired Finite-Lived Intangible Assets [Line Items]
Finite-lived intangible assets, gross carrying value	24	1
Finite-lived intangible assets, accumulated amortization	(1)	0
Finite-lived intangible assets, net carrying value	$ 23	$ 1