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Stockholders' equity - Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2017	Dec. 31, 2016	Dec. 31, 2015
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance	$ (1,647.4)	$ (1,378.6)	$ (1,452.4)
Other comprehensive income before reclassifications	506.8	(64.9)	346.2
Amounts reclassified from accumulated other comprehensive income	(169.8)	(142.6)	(178.1)
Current period other comprehensive income	337.0	(207.5)	168.1
Ending Balance	(1,326.5)	(1,647.4)	(1,378.6)
Total
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance	(4,152.8)	(3,945.3)	(4,113.4)
Ending Balance	(3,815.8)	(4,152.8)	(3,945.3)
Translation Adjustments
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance	(927.1)	(833.8)	(737.8)
Other comprehensive income before reclassifications	121.9	(93.3)	(96.0)
Amounts reclassified from accumulated other comprehensive income	(11.8)	0.0	0.0
Current period other comprehensive income	110.1	(93.3)	(96.0)
Ending Balance	(817.0)	(927.1)	(833.8)
Postretirement Plans
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]
Beginning Balance	(3,225.7)	(3,111.5)	(3,375.6)
Other comprehensive income before reclassifications	384.9	28.4	442.2
Amounts reclassified from accumulated other comprehensive income	(158.0)	(142.6)	(178.1)
Current period other comprehensive income	226.9	(114.2)	264.1
Ending Balance	$ (2,998.8)	$ (3,225.7)	$ (3,111.5)

X

- Definition

Amount after tax, before reclassification adjustments of other comprehensive income (loss).

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 220
-SubTopic 10
-Section 55
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Amount after tax of other comprehensive income (loss) attributable to parent entity.

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Amount after tax of reclassification adjustments of other comprehensive income (loss).

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Amount of stockholders' equity (deficit), net of receivables from officers, directors, owners, and affiliates of the entity, attributable to both the parent and noncontrolling interests. Amount excludes temporary equity. Alternate caption for the concept is permanent equity.

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