BUSINESS SEGMENTS - Revenues and Income From Continuing Operations by Segment (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Jan. 02, 2026	Jan. 03, 2025	Jan. 02, 2026	Jan. 03, 2025	Dec. 29, 2023	Jan. 01, 2021
Segment Reporting Information [Line Items]
Revenue	$ 21,865	$ 21,325		$ 21,325	$ 19,419
Cost of revenue	(16,240)	(15,801)		(15,801)	(14,306)	$ (14,306)
Operating income	2,110	1,918	$ 2,110	1,918	1,426
Non-service FAS pension income and other, net	419	354	419		338
Interest expense, net	(597)	(675)	(597)		(543)
Income before income taxes	1,932	1,597	1,932	1,597	1,221
Operating segments
Segment Reporting Information [Line Items]
Operating income	3,366	3,269			2,566
Operating segments | CS
Segment Reporting Information [Line Items]
Revenue	5,673	5,459	5,673	5,459	5,070
Cost of revenue	(3,570)	(3,490)			(3,217)
Operating income	1,432	1,324			1,229
Operating segments | IMS
Segment Reporting Information [Line Items]
Revenue	6,630	6,618	6,630	6,618	6,446
Cost of revenue	(5,188)	(5,039)			(4,933)
Operating income	812	826			443
Operating segments | SAS
Segment Reporting Information [Line Items]
Revenue	6,946	6,869	6,946	6,869	6,856
Cost of revenue	(5,463)	(5,430)			(5,380)
Operating income	852	812			756
Operating segments | AR
Segment Reporting Information [Line Items]
Revenue	2,845	2,580	2,845	2,580	1,243
Cost of revenue	(2,207)	(2,008)			(977)
Operating income	270	307			138
Intersegment
Segment Reporting Information [Line Items]
Revenue	(229)	(201)			(196)
Intersegment | CS
Segment Reporting Information [Line Items]
Revenue			(62)	(69)	(53)
Intersegment | IMS
Segment Reporting Information [Line Items]
Revenue			(75)	(53)	(74)
Intersegment | SAS
Segment Reporting Information [Line Items]
Revenue			(64)	(51)	(49)
Intersegment | AR
Segment Reporting Information [Line Items]
Revenue			$ (28)	$ (28)	(20)
Intersegment and corporate
Segment Reporting Information [Line Items]
Cost of revenue	188	166			201
Corporate non-segment
Segment Reporting Information [Line Items]
Operating income	$ (1,256)	$ (1,351)			$ (1,140)