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Stockholders' equity - Amounts Reclassified Out of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2018 | Dec. 31, 2017 | Dec. 31, 2016
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |
Other income (expense), net | $ (76.9) | $ (116.4) | [1] | $ (81.3) | [1]
Total reclassifications for the period | (157.0) | (169.8) |  | (142.6) |
Translation Adjustments |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |
Total reclassifications for the period | 0.0 | (11.8) |  | 0.0 |
Amortization of prior service cost |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |
Amortization of postretirement plan items, before tax | 7.1 | 5.6 |  | 5.6 |
Amortization of actuarial losses |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |
Amortization of postretirement plan items, before tax | (165.9) | (174.1) |  | (155.2) |
Curtailment gain |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |
Amortization of postretirement plan items, before tax | 0.0 | 5.4 |  | 2.0 |
Settlement loss |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |
Amortization of postretirement plan items, before tax | (3.9) | 0.0 |  | 0.0 |
Postretirement Plans |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |
Amortization of postretirement plan items, before tax | (162.7) | (174.9) |  | (147.6) |
Income tax benefit | 5.7 | 5.1 |  | 5.0 |
Total reclassifications for the period | (157.0) | (158.0) |  | (142.6) |
Adjustment for substantial completion of liquidation of foreign subsidiaries | Translation Adjustments |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |  |  |
Other income (expense), net | $ 0.0 | $ (11.8) |  | $ 0.0 |
[1] | Amounts were changed to conform to the current-year presentation. See Note 2.

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