BUSINESS SEGMENTS - Revenues and Income From Continuing Operations by Segment (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2025	Dec. 29, 2023	Dec. 30, 2022
Segment Reporting Information [Line Items]
Revenue	$ 21,325,000	$ 19,419,000	$ 17,062,000
Cost of Revenue	(15,801,000)	(14,306,000)	(12,135,000)
Other Segment Costs	(2,256,000)	(2,547,000)	(3,101,000)
Net EAC adjustments, before income taxes	1,918,000	1,426,000	1,127,000
Non-service FAS pension income and other, net	354,000	338,000	425,000
Interest expense, net	(675,000)	(543,000)	(279,000)
Income before income taxes	1,597,000	1,221,000	1,273,000
Operating segments | SAS
Segment Reporting Information [Line Items]
Revenue	6,869,000	6,856,000	6,384,000
Cost of Revenue	(5,430,000)	(5,380,000)	(4,810,000)
Other Segment Costs	(627,000)	(720,000)	(909,000)
Net EAC adjustments, before income taxes	812,000	756,000	665,000
Operating segments | IMS
Segment Reporting Information [Line Items]
Revenue	6,842,000	6,630,000	6,626,000
Cost of Revenue	(5,237,000)	(5,086,000)	(4,893,000)
Other Segment Costs	(767,000)	(1,085,000)	(1,239,000)
Net EAC adjustments, before income taxes	838,000	459,000	494,000
Operating segments | CS
Segment Reporting Information [Line Items]
Revenue	5,459,000	5,070,000	4,217,000
Cost of Revenue	(3,490,000)	(3,217,000)	(2,598,000)
Other Segment Costs	(645,000)	(624,000)	(952,000)
Net EAC adjustments, before income taxes	1,324,000	1,229,000	667,000
Operating segments | AR
Segment Reporting Information [Line Items]
Revenue	2,347,000	1,052,000	0
Cost of Revenue	(1,802,000)	(817,000)
Other Segment Costs	(251,000)	(113,000)
Net EAC adjustments, before income taxes	294,000	122,000
Other
Segment Reporting Information [Line Items]
Revenue	(192,000)	(189,000)	(165,000)
Cost of Revenue	158,000	194,000	166,000
Other Segment Costs	34,000	(5,000)	(1,000)
Other | SAS
Segment Reporting Information [Line Items]
Revenue	51,000	49,000	49,000
Other | IMS
Segment Reporting Information [Line Items]
Revenue	72,000	87,000	71,000
Other | CS
Segment Reporting Information [Line Items]
Revenue	69,000	53,000	45,000
Other | AR
Segment Reporting Information [Line Items]
Revenue	0	0
Corporate non-segment
Segment Reporting Information [Line Items]
Net EAC adjustments, before income taxes	$ (1,350,000)	$ (1,140,000)	$ (699,000)