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Stockholders' equity - Amounts Reclassified Out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2017 | Dec. 31, 2016 | Dec. 31, 2015
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other income (expense), net | $ (23.9) | $ 0.3 | $ 8.2
Total reclassifications for the period | (169.8) | (142.6) | (178.1)
Translation Adjustments |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Total reclassifications for the period | (11.8) | 0.0 | 0.0
Amortization of prior service cost |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | 5.6 | 5.6 | 3.1
Amortization of actuarial losses |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | (174.1) | (155.2) | (189.7)
Curtailment gain |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | 5.4 | 2.0 | 0.0
Postretirement Plans |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | (174.9) | (147.6) | (186.6)
Income tax benefit | 5.1 | 5.0 | 8.5
Total reclassifications for the period | (158.0) | (142.6) | (178.1)
Adjustment for substantial completion of liquidation of foreign subsidiaries | Translation Adjustments |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other income (expense), net | $ (11.8) | $ 0.0 | $ 0.0

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- Definition Amount of income (expense) related to nonoperating activities, classified as other. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 225 -SubTopic 10 -Section S99 -Paragraph 2 -Subparagraph (SX 210.5-03.9) -URI http://asc.fasb.org/extlink&oid=63488584&loc=d3e20235-122688 + Details
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- Definition Amount before tax of 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 45 -Paragraph 14A -URI http://asc.fasb.org/extlink&oid=84228862&loc=SL7669686-108580 + Details
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