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Acquisitions and Divestitures, Unaudited Pro Forma Statements of Operations Data (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Jun. 29, 2018
Jun. 30, 2017
Jun. 29, 2018
Jun. 30, 2017
Business Acquisition [Line Items]        
Pro forma net sales $ 2,592 $ 2,413 $ 4,973 $ 4,765
Pro forma income from continuing operations attributable to L3 187 189 375 343
Pro forma net income attributable to L3 $ 377 $ 201 $ 581 $ 366
Pro forma diluted earnings per share from continuing operations (in dollars per share) $ 2.36 $ 2.38 $ 4.71 $ 4.32
Pro forma diluted earnings per share (in dollars per share) $ 4.75 $ 2.53 $ 7.30 $ 4.61