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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, 2015
Jun. 30, 2014
Jun. 30, 2015
Jun. 30, 2014
Calculation of net income per ordinary share attributable to ordinary shareholders        
Net income attributable to Eaton ordinary shareholders $ 535 $ 171 $ 1,001 $ 610
Weighted-average number of ordinary shares outstanding - diluted (shares) 469.2 478.5 469.6 478.7
Less dilutive effect of equity-based compensation 1.6 2.6 1.9 2.8
Weighted-average number of ordinary shares outstanding - basic (shares) 467.6 475.9 467.7 475.9
Stock options excluded from calculation of diluted net income per ordinary share 1.3 0.5 1.1 0.3
Net income per ordinary share        
Diluted (usd per share) $ 1.14 $ 0.36 $ 2.13 $ 1.27
Basic (usd per share) $ 1.14 $ 0.36 $ 2.14 $ 1.28