Income Taxes Income before income taxes and the provision for U.S. federal, state and foreign taxes on earnings (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Income Tax Disclosure [Abstract]
Income before income taxes, United States	$ 551	$ 502	$ 2,102
Income before income taxes, Foreign	222	323	504
Income before income taxes	773	825	2,606
Income taxes, currently payable, Federal	212	301	302
Income taxes, currently payable, State	42	36	68
Income taxes, currently payable, Foreign	74	103	105
Income taxes, currently payable	328	440	475
Income taxes, deferred, Federal	(136)	(186)	331
Income taxes, deferred, State	(14)	(14)	(2)
Income taxes, deferred, Foreign	(19)	(54)	(12)
Income taxes, deferred	(169)	(254)	317
Total income taxes	$ 159	$ 186	$ 792