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Goodwill and Intangible Assets (Narrative) (Details) - USD ($)
12 Months Ended
Dec. 30, 2022
Dec. 31, 2021
Jan. 01, 2021
Indefinite-lived Intangible Assets [Line Items]      
Goodwill $ 6,696,000,000 $ 6,744,000,000 $ 6,313,000,000
Goodwill impairments 0 0 0
Amortization of intangible assets 230,000,000 228,000,000 198,000,000
Impairment of intangible assets, 0    
Security Products      
Indefinite-lived Intangible Assets [Line Items]      
Goodwill $ 899,000,000    
Reporting unit, percentage of fair value in excess of carrying amount 13.00%    
Defense Solutions      
Indefinite-lived Intangible Assets [Line Items]      
Goodwill $ 3,664,000,000 3,681,000,000 3,300,000,000
Amortization of intangible assets 130,000,000 121,000,000 92,000,000
Civil      
Indefinite-lived Intangible Assets [Line Items]      
Goodwill 2,066,000,000 2,097,000,000 2,047,000,000
Amortization of intangible assets $ 70,000,000 73,000,000 $ 66,000,000
Civil | Security Products      
Indefinite-lived Intangible Assets [Line Items]      
Goodwill   $ 926,000,000