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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, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Basic EPS:        
Net income (loss) attributable to AGL $ 161 $ 208 $ 433 $ 678
Less: Distributed and undistributed income (loss) available to nonvested shareholders 1 0 1 1
Distributed and undistributed income (loss) available to common shareholders of AGL and subsidiaries, basic $ 160 $ 208 $ 432 $ 677
Basic shares 108.0 118.7 111.6 121.8
Basic EPS (in dollars per share) $ 1.48 $ 1.75 $ 3.87 $ 5.56
Diluted EPS:        
Distributed and undistributed income (loss) available to common shareholders of AGL and subsidiaries, basic $ 160 $ 208 $ 432 $ 677
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 $ 160 $ 208 $ 432 $ 677
Basic shares 108.0 118.7 111.6 121.8
Effect of dilutive securities:        
Options and restricted stock awards (in shares) 1.3 2.0 1.3 1.7
Diluted shares 109.3 120.7 112.9 123.5
Diluted EPS (in dollars per share) $ 1.47 $ 1.72 $ 3.83 $ 5.48
Potentially dilutive securities excluded from computation of EPS because of antidilutive effect (in shares) 0.0 0.0 0.1 0.1