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Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Basic EPS:                      
Net income (loss) $ 52 $ 208 $ 153 $ 317 $ 197 $ 479 $ 146 $ 59 $ 730 $ 881 $ 1,056
Less: Distributed and undistributed income (loss) available to nonvested shareholders                 1 1 1
Distributed and undistributed income (loss) available to common shareholders of AGL and subsidiaries, basic                 $ 729 $ 880 $ 1,055
Basic shares (in shares)                 120.6 133.0 148.1
Basic EPS (in dollars per share) $ 0.44 $ 1.75 $ 1.26 $ 2.53 $ 1.51 $ 3.63 $ 1.09 $ 0.43 $ 6.05 $ 6.61 $ 7.12
Diluted EPS:                      
Plus: Re-allocation of undistributed income (loss) available to nonvested shareholders of AGL and subsidiaries                 $ 0 $ 0 $ 0
Distributed and undistributed income (loss) available to common shareholders of AGL and subsidiaries, diluted                 $ 729 $ 880 $ 1,055
Basic shares (in shares)                 120.6 133.0 148.1
Dilutive securities (in shares)                 1.7 1.1 0.9
Diluted shares (in shares)                 122.3 134.1 149.0
Diluted EPS (in dollars per share) $ 0.44 $ 1.72 $ 1.24 $ 2.49 $ 1.49 $ 3.60 $ 1.09 $ 0.43 $ 5.96 $ 6.56 $ 7.08
Potentially dilutive securities excluded from computation of EPS because of antidilutive effect                 0.1 0.3 0.5