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EQUITY - Calculation of Net Income per Ordinary Share (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Calculation of net income per ordinary share attributable to ordinary shareholders        
Net Income Attributable to Eaton ordinary shareholders $ 636 $ 610 $ 1,158 $ 1,098
Weighted-average number of ordinary shares outstanding - diluted (shares) 423.1 437.3 424.5 439.5
Less dilutive effect of equity-based compensation (shares) 1.5 2.1 1.7 2.5
Weighted-average number of ordinary shares outstanding - basic (shares) 421.6 435.2 422.8 437.0
Net income per share attributable to Eaton ordinary shareholders        
Diluted (usd per share) $ 1.50 $ 1.39 $ 2.73 $ 2.50
Basic (usd per share) $ 1.51 $ 1.40 $ 2.74 $ 2.51
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount 0.8 0.6 1.2 0.3