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Stockholders' equity - Schedule of Changes in Accumulated Other Comprehensive Loss (Detail) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2020	Sep. 30, 2019	Sep. 30, 2020	Sep. 30, 2019
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	$ 801.3	$ 868.0	$ 816.1	$ 839.8
Ending Balance	801.7	846.9	801.7	846.9
Currency Translation
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	(270.7)	(238.0)	(246.8)	(245.0)
Other comprehensive income (loss)	10.1	(18.7)	(13.8)	(11.7)
Ending Balance	(260.6)	(256.7)	(260.6)	(256.7)
Accumulated Defined Benefit Plans Adjustment \| Defined Benefit Pension Plans
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	(196.1)	(175.5)	(202.2)	(180.0)
Other comprehensive income (loss)	3.1	2.2	9.2	6.7
Ending Balance	(193.0)	(173.3)	(193.0)	(173.3)
Accumulated Defined Benefit Plans Adjustment \| OPEB Plans
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	0.1	0.6	0.2	0.7
Other comprehensive income (loss)	(0.1)	(0.1)	(0.2)	(0.2)
Ending Balance		0.5		0.5
Total Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	(466.7)	(412.9)	(448.8)	(424.3)
Other comprehensive income (loss)	13.1	(16.6)	(4.8)	(5.2)
Ending Balance	$ (453.6)	$ (429.5)	$ (453.6)	$ (429.5)

Total of all stockholders' equity (deficit) items, net of receivables from officers, directors, owners, and affiliates of the entity which are attributable to the parent. The amount of the economic entity's stockholders' equity attributable to the parent excludes the amount of stockholders' equity which is allocable to that ownership interest in subsidiary equity which is not attributable to the parent (noncontrolling interest, minority interest). This excludes temporary equity and is sometimes called permanent equity.

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