Equity-Based Compensation Stock Options Activity (Details) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Dec. 31, 2018 USD ($) $ / shares shares
Options
Closing price of Eaton ordinary shares on last trading day | $ / shares	$ 68.66
Weighted-average exercise price per option [Member]
Weighted-average exercise price per option
Beginning balance (usd per share) | $ / shares	62.43
Granted (usd per share) | $ / shares	81.76
Exercised (usd per share) | $ / shares	53.26
Forfeited and cancelled (usd per share) | $ / shares	0.00
Ending balance (usd per share) | $ / shares	65.96
Exercisable at December 31, 2018 | $ / shares	$ 63.39
Stock Options [Member]
Options
Outstanding at January 1, 2018, shares | shares	4.6
Granted, shares | shares	0.6
Exercised, shares | shares	(0.6)
Forfeited and cancelled, shares | shares	0.0
Outstanding at December 31, 2018, shares | shares	4.6
Exercisable at December 31, 2018, shares | shares	3.2
Reserved for future grants at December 31, 2018, shares | shares	13.2
Weighted-average remaining contractual life in years [Member]
Options
Outstanding at December 31, 2018	6 years 2 months 18 days
Exercisable at December 31, 2018	5 years 2 months 6 days
Aggregate Intrinsic Value [Member]
Options
Outstanding at December 31, 2018 | $	$ 27.4
Exercisable at December 31, 2018 | $	$ 22.4