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Income taxes - Reconciliation of the Provision for Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2018	Dec. 31, 2017	Dec. 31, 2016
Income Tax Disclosure [Abstract]
United States statutory income tax provision (benefit)	$ 30.1	$ (25.2)	$ 7.2
Income and losses for which no provision or benefit has been recognized	22.2	70.3	65.5
Foreign rate differential and other foreign tax expense	9.5	(11.3)	(21.1)
Income tax withholdings	19.3	16.8	22.8
Permanent items	(5.0)	(3.0)	(4.7)
Enacted rate changes	(2.3)	(0.4)	3.5
Change in uncertain tax positions	(1.2)	2.3	0.4
Change in valuation allowances due to changes in judgment	(5.9)	(4.6)	(16.4)
Income tax credits, U.S.	(2.4)	(50.4)	0.0
Provision (benefit) for income taxes	$ 64.3	$ (5.5)	$ 57.2

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