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Earnings Per Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Jun. 30, 2018
Jun. 30, 2017
Basic EPS:        
Net income (loss) attributable to AGL $ 75 $ 153 $ 272 $ 470
Less: Distributed and undistributed income (loss) available to nonvested shareholders 0 0 0 0
Distributed and undistributed income (loss) available to common shareholders of AGL and subsidiaries, basic $ 75 $ 153 $ 272 $ 470
Basic shares 111.7 121.3 113.4 123.3
Basic EPS (in dollars per share) $ 0.67 $ 1.26 $ 2.39 $ 3.81
Diluted EPS:        
Distributed and undistributed income (loss) available to common shareholders of AGL and subsidiaries, basic $ 75 $ 153 $ 272 $ 470
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 $ 75 $ 153 $ 272 $ 470
Basic shares 111.7 121.3 113.4 123.3
Effect of dilutive securities:        
Options and restricted stock awards (in shares) 1.2 1.4 1.4 1.6
Diluted shares 112.9 122.7 114.8 124.9
Diluted EPS (in dollars per share) $ 0.67 $ 1.24 $ 2.37 $ 3.76
Potentially dilutive securities excluded from computation of EPS because of antidilutive effect (in shares) 0.1 0.1 0.2 0.1