Consolidated Balance Sheets (Parenthetical) $ in Millions	Dec. 31, 2017 USD ($) $ / shares shares	Dec. 31, 2016 USD ($) shares	Dec. 31, 2016 € / shares
Statement of Financial Position [Abstract]
Receivables, allowances | $	$ 117.4	$ 85.6
Ordinary shares, par value (in dollars/EURO per share) | (per share)	$ 1.00		€ 0.7625
Ordinary shares, shares authorized (in shares)	525,000,000	119,200,000.0
Ordinary shares, shares issued (in shares)	465,100,000	119,200,000
Ordinary shares, shares outstanding (in shares)	465,100,000	118,900,000
Canceled shares (in shares)	2,100,000	3,200,000
Ordinary shares, held in employee benefit trust (in shares)	100,000	0
Treasury stock, at cost (in shares)	0	300,000