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Revenues (Disaggregated Revenue) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 03, 2025	Dec. 29, 2023	Dec. 30, 2022
Disaggregation of Revenue [Line Items]
Revenues	$ 16,576	$ 15,339	$ 14,287
United States
Disaggregation of Revenue [Line Items]
Revenues	15,206	14,015	13,098
International
Disaggregation of Revenue [Line Items]
Revenues	1,370	1,324	1,189
Cost-reimbursement and fixed-price-incentive-fee
Disaggregation of Revenue [Line Items]
Revenues	7,305	7,341	7,113
Firm-fixed-price
Disaggregation of Revenue [Line Items]
Revenues	7,054	5,964	5,402
Time-and-materials and fixed-price-level-of-effort
Disaggregation of Revenue [Line Items]
Revenues	2,217	2,034	1,772
US DoD And US Intelligence Community
Disaggregation of Revenue [Line Items]
Revenues	7,962	7,577	7,110
Other Government Agencies
Disaggregation of Revenue [Line Items]
Revenues	6,488	5,734	5,240
Commercial and Non-US Customers
Disaggregation of Revenue [Line Items]
Revenues	2,126	2,028	1,937
National Security & Digital
Disaggregation of Revenue [Line Items]
Revenues	7,304	7,142	6,701
National Security & Digital | United States
Disaggregation of Revenue [Line Items]
Revenues	7,274	7,105	6,661
National Security & Digital | International
Disaggregation of Revenue [Line Items]
Revenues	30	37	40
National Security & Digital | Cost-reimbursement and fixed-price-incentive-fee
Disaggregation of Revenue [Line Items]
Revenues	3,870	3,808	3,618
National Security & Digital | Firm-fixed-price
Disaggregation of Revenue [Line Items]
Revenues	2,023	2,040	2,031
National Security & Digital | Time-and-materials and fixed-price-level-of-effort
Disaggregation of Revenue [Line Items]
Revenues	1,411	1,294	1,052
National Security & Digital | US DoD And US Intelligence Community
Disaggregation of Revenue [Line Items]
Revenues	5,074	4,799	4,502
National Security & Digital | Other Government Agencies
Disaggregation of Revenue [Line Items]
Revenues	2,115	2,212	2,034
National Security & Digital | Commercial and Non-US Customers
Disaggregation of Revenue [Line Items]
Revenues	115	131	165
Health & Civil
Disaggregation of Revenue [Line Items]
Revenues	4,994	4,202	3,913
Health & Civil | United States
Disaggregation of Revenue [Line Items]
Revenues	4,989	4,197	3,911
Health & Civil | International
Disaggregation of Revenue [Line Items]
Revenues	5	5	2
Health & Civil | Cost-reimbursement and fixed-price-incentive-fee
Disaggregation of Revenue [Line Items]
Revenues	1,787	2,015	2,047
Health & Civil | Firm-fixed-price
Disaggregation of Revenue [Line Items]
Revenues	2,990	2,006	1,700
Health & Civil | Time-and-materials and fixed-price-level-of-effort
Disaggregation of Revenue [Line Items]
Revenues	217	181	166
Health & Civil | US DoD And US Intelligence Community
Disaggregation of Revenue [Line Items]
Revenues	1,032	1,059	1,047
Health & Civil | Other Government Agencies
Disaggregation of Revenue [Line Items]
Revenues	3,899	3,082	2,803
Health & Civil | Commercial and Non-US Customers
Disaggregation of Revenue [Line Items]
Revenues	63	61	63
Commercial & International
Disaggregation of Revenue [Line Items]
Revenues	2,248	2,116	1,866
Commercial & International | United States
Disaggregation of Revenue [Line Items]
Revenues	961	852	760
Commercial & International | International
Disaggregation of Revenue [Line Items]
Revenues	1,287	1,264	1,106
Commercial & International | Cost-reimbursement and fixed-price-incentive-fee
Disaggregation of Revenue [Line Items]
Revenues	358	345	306
Commercial & International | Firm-fixed-price
Disaggregation of Revenue [Line Items]
Revenues	1,454	1,351	1,181
Commercial & International | Time-and-materials and fixed-price-level-of-effort
Disaggregation of Revenue [Line Items]
Revenues	436	420	379
Commercial & International | US DoD And US Intelligence Community
Disaggregation of Revenue [Line Items]
Revenues	44	35	31
Commercial & International | Other Government Agencies
Disaggregation of Revenue [Line Items]
Revenues	379	319	281
Commercial & International | Commercial and Non-US Customers
Disaggregation of Revenue [Line Items]
Revenues	1,825	1,762	1,554
Defense Systems
Disaggregation of Revenue [Line Items]
Revenues	2,030	1,879	1,807
Defense Systems | United States
Disaggregation of Revenue [Line Items]
Revenues	1,982	1,861	1,766
Defense Systems | International
Disaggregation of Revenue [Line Items]
Revenues	48	18	41
Defense Systems | Cost-reimbursement and fixed-price-incentive-fee
Disaggregation of Revenue [Line Items]
Revenues	1,290	1,173	1,142
Defense Systems | Firm-fixed-price
Disaggregation of Revenue [Line Items]
Revenues	587	567	490
Defense Systems | Time-and-materials and fixed-price-level-of-effort
Disaggregation of Revenue [Line Items]
Revenues	153	139	175
Defense Systems | US DoD And US Intelligence Community
Disaggregation of Revenue [Line Items]
Revenues	1,812	1,684	1,530
Defense Systems | Other Government Agencies
Disaggregation of Revenue [Line Items]
Revenues	95	121	122
Defense Systems | Commercial and Non-US Customers
Disaggregation of Revenue [Line Items]
Revenues	$ 123	$ 74	$ 155

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