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Stockholders' equity - Amounts Reclassified Out of Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2021 | Dec. 31, 2020 | Dec. 31, 2019
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other (expense), net | $ (580.3) | $ (329.6) | $ (136.4)
Total before tax | (461.7) | (271.8) | (60.6)
Income tax benefit | 11.9 | (45.4) | (27.7)
Total reclassifications for the period | (449.8) | (317.2) | (88.3)
Reclassification out of Accumulated Other Comprehensive Income |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Total before tax | 676.1 | (345.8) | (144.9)
Income tax benefit | (59.3) | 5.5 | 4.3
Total reclassifications for the period | 616.8 | (340.3) | (140.6)
Reclassification out of Accumulated Other Comprehensive Income | Translation Adjustments |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other (expense), net | 4.0 | (32.3) | 0.0
Reclassification out of Accumulated Other Comprehensive Income | Amortization of prior service cost |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other (expense), net | (6.2) | 5.9 | 5.9
Reclassification out of Accumulated Other Comprehensive Income | Amortization of actuarial losses |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other (expense), net | 178.9 | (177.3) | (149.7)
Reclassification out of Accumulated Other Comprehensive Income | Settlement loss |  |  |
Accumulated Other Comprehensive Income (Loss) [Line Items] |  |  |
Other (expense), net | $ 499.4 | $ (142.1) | $ (1.1)

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