GOODWILL (DETAILS) (USD $) In Millions, unless otherwise specified	6 Months Ended
	Jul. 04, 2014	Jun. 28, 2013	Jan. 03, 2014
Finite-Lived Intangible Assets [Line Items]
Balance	$ 570
Amortization expense	(49)	(55)
Balance	523
Table of estimated future amortization expense of intangible assets [Abstract]
Total estimated future amortization expense	523
Goodwill [Line Items]
Goodwill	3,709		3,696
Goodwill impairment review [Abstract]
Reporting unit fair value	6,882
Reporting unit carrying value	6,087
Reporting unit percent fair value above carrying value	13.00%
Infrastructure & Environment Operating Segment [Member]
Goodwill [Line Items]
Goodwill	749
Goodwill impairment review [Abstract]
Reporting unit fair value	1,824
Reporting unit carrying value	1,460
Reporting unit percent fair value above carrying value	25.00%
Federal Services Operating Segment [Member]
Goodwill [Line Items]
Goodwill	1,273
Goodwill impairment review [Abstract]
Reporting unit fair value	2,077
Reporting unit carrying value	1,811
Reporting unit percent fair value above carrying value	15.00%
Federal Services Group [Member]
Goodwill [Line Items]
Goodwill	708
Goodwill impairment review [Abstract]
Reporting unit fair value	1,001
Reporting unit carrying value	877
Reporting unit percent fair value above carrying value	14.00%
Global Management and Operations Services Group [Member]
Goodwill [Line Items]
Goodwill	565
Goodwill impairment review [Abstract]
Reporting unit fair value	1,076
Reporting unit carrying value	934
Reporting unit percent fair value above carrying value	15.00%
Energy & Construction Operating Segment [Member]
Goodwill [Line Items]
Goodwill	1,277
Goodwill impairment review [Abstract]
Reporting unit fair value	1,688
Reporting unit carrying value	1,581
Reporting unit percent fair value above carrying value	7.00%
Civil Construction and Mining Group [Member]
Goodwill [Line Items]
Goodwill	294
Goodwill impairment review [Abstract]
Reporting unit fair value	375
Reporting unit carrying value	348
Reporting unit percent fair value above carrying value	8.00%
Industrial/Process Group
Goodwill [Line Items]
Goodwill	248
Goodwill impairment review [Abstract]
Reporting unit fair value	425
Reporting unit carrying value	393
Reporting unit percent fair value above carrying value	8.00%
Power Group
Goodwill [Line Items]
Goodwill	735
Goodwill impairment review [Abstract]
Reporting unit fair value	888
Reporting unit carrying value	840
Reporting unit percent fair value above carrying value	6.00%
Oil and Gas Operating Segment [Member]
Goodwill [Line Items]
Goodwill	410
Goodwill impairment review [Abstract]
Reporting unit fair value	1,293
Reporting unit carrying value	$ 1,235
Reporting unit percent fair value above carrying value	5.00%