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Stockholders' equity - Amounts Reclassified Out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2017
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other income (expense), net | $ (136.4) | $ (76.9) | $ (116.4)
Total reclassifications for the period | (140.6) | (157.0) | (169.8)
Translation Adjustments |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Total reclassifications for the period | 0.0 | 0.0 | (11.8)
Amortization of prior service cost |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | 5.9 | 7.1 | 5.6
Amortization of actuarial losses |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | (149.7) | (165.9) | (174.1)
Curtailment gain |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | 0.0 | 0.0 | 5.4
Settlement loss |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | (1.1) | (3.9) | 0.0
Postretirement Plans |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Amortization of postretirement plan items, before tax | (144.9) | (162.7) | (174.9)
Income tax benefit | 4.3 | 5.7 | 5.1
Total reclassifications for the period | (140.6) | (157.0) | (158.0)
Adjustment for substantial completion of liquidation of foreign subsidiaries | Translation Adjustments |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other income (expense), net | $ 0.0 | $ 0.0 | $ (11.8)

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