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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
Mar. 31, 2018
Mar. 31, 2017
Calculation of net income per ordinary share attributable to ordinary shareholders    
Net income attributable to Eaton ordinary shareholders $ 488 $ 434
Weighted-average number of ordinary shares outstanding - diluted (shares) 441.7 451.0
Less dilutive effect of equity-based compensation (shares) (2.9) (2.2)
Weighted-average number of ordinary shares outstanding - basic (shares) 438.8 448.8
Net income per share attributable to Eaton ordinary shareholders    
Diluted (usd per share) $ 1.10 $ 0.96
Basic (usd per share) $ 1.11 $ 0.97
Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount 0.1 1.2