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Unaudited Quarterly Financial Data (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2016
Sep. 23, 2016
Jun. 24, 2016
Mar. 25, 2016
Dec. 31, 2015
Sep. 25, 2015
Jun. 26, 2015
Mar. 27, 2015
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
Unaudited Quarterly Financial Data [Abstract]                      
Sales $ 2,989 $ 2,505 $ 2,664 $ 2,353 $ 2,871 $ 2,564 $ 2,543 $ 2,488 $ 10,511 $ 10,466 $ 10,986
Operating income (loss) 294 215 247 252 (96) 231 153 187 1,008 475 1,012
Income (loss) from continuing operations 192 151 151 167 (56) 128 120 105 661 297 645
Net income (loss) 192 151 151 230 (162) (296) 124 109 724 (225) 677
Net income (loss) attributable to L3 $ 188 $ 148 $ 147 $ 227 $ (166) $ (299) $ 120 $ 105 $ 710 $ (240) $ 664
Basic earnings (loss) per share from continuing operations (in dollars per share) $ 2.43 [1] $ 1.91 [1] $ 1.90 [1] $ 2.11 [1] $ (0.76) [1] $ 1.56 [1] $ 1.41 [1] $ 1.23 [1] $ 8.36 $ 3.49 $ 7.40
Basic earnings (loss) per share (in dollars per share) 2.43 [1] 1.91 [1] 1.90 [1] 2.92 [1] (2.11) [1] (3.74) [1] 1.46 [1] 1.28 [1] 9.17 (2.97) 7.78
Diluted earnings (loss) per share from continuing operations (in dollars per share) 2.38 [1] 1.88 [1] 1.88 [1] 2.08 [1] (0.76) [1] 1.54 [1] 1.39 [1] 1.20 [1] 8.21 3.44 7.20
Diluted earnings (loss) per share (in dollars per share) $ 2.38 [1] $ 1.88 [1] $ 1.88 [1] $ 2.87 [1] $ (2.11) [1] $ (3.68) [1] $ 1.44 [1] $ 1.25 [1] $ 9.01 $ (2.93) $ 7.56
[1] EPS in each quarter is computed using the weighted-average number of shares outstanding during that quarter, while EPS for the full year is computed using the weighted-average number of shares outstanding during the year. Therefore, the sum of the four quarters' EPS may not equal the full year computed EPS.