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Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2017
Sep. 30, 2016
Basic EPS:        
Net income (loss) attributable to AGL $ 208 $ 479 $ 678 $ 684
Less: Distributed and undistributed income (loss) available to nonvested shareholders 0 1 1 1
Distributed and undistributed income (loss) available to common shareholders of AGL and subsidiaries, basic $ 208 $ 478 $ 677 $ 683
Basic shares 118.7 131.9 121.8 134.0
Basic EPS (in dollars per share) $ 1.75 $ 3.63 $ 5.56 $ 5.10
Diluted EPS:        
Plus: Re-allocation of undistributed income (loss) available to nonvested shareholders of AGL and subsidiaries $ 0 $ 0 $ 0 $ 0
Distributed and undistributed income (loss) available to common shareholders of AGL and subsidiaries, diluted $ 208 $ 478 $ 677 $ 683
Basic shares 118.7 131.9 121.8 134.0
Effect of dilutive securities:        
Options and restricted stock awards (in shares) 2.0 0.9 1.7 0.9
Diluted shares 120.7 132.8 123.5 134.9
Diluted EPS (in dollars per share) $ 1.72 $ 3.60 $ 5.48 $ 5.06
Potentially dilutive securities excluded from computation of EPS because of antidilutive effect (in shares) 0.0 0.0 0.1 0.5