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Income taxes (Tables) | 12 Months Ended
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Dec. 31, 2022
Income taxes Disclosure [Abstract] |
Component of Income Taxes Expenses | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Years ended December 31,
​ |  | 2020 |  | 2021 |  | 2022
​ | ​ | (In millions)
Pre-tax income: |  | ​ |  |  | ​ |  |  | ​ |
United States | ​ | $ | 45.2 | ​ | $ | 131.4 | ​ | $ | 81.4
Non-U.S. subsidiaries | ​ |  | 55.4 | ​ |  | 126.4 | ​ |  | 88.5
Total | ​ | $ | 100.6 | ​ | $ | 257.8 | ​ | $ | 169.9
Expected tax expense at U.S. federal statutory income tax rate of 21% |  | $ | 21.1 | ​ | $ | 54.1 | ​ | $ | 35.7
Non-U.S. tax rates | ​ |  | .5 | ​ |  | 4.5 | ​ |  | 2.0
Incremental net tax benefit on earnings and losses of U.S. and non-U.S. tax group companies | ​ |  | (8.7) | ​ |  | (2.0) | ​ |  | (1.7)
Valuation allowance | ​ |  | 3.8 | ​ |  | .9 | ​ |  | (3.0)
Global intangible low-tax income, net | ​ |  | 2.2 | ​ |  | 2.8 | ​ |  | 1.8
Tax rate changes | ​ | ​ | (.2) | ​ | ​ | — | ​ | ​ | —
U.S. state income taxes, net | ​ | ​ | .9 | ​ | ​ | 1.5 | ​ | ​ | 1.5
Adjustment to the reserve for uncertain tax positions, net | ​ |  | (3.8) | ​ |  | (2.6) | ​ |  | (2.9)
Nondeductible expenses | ​ |  | 1.0 | ​ |  | 1.1 | ​ |  | 1.0
Other, net | ​ |  | (.9) | ​ |  | (.2) | ​ |  | (.6)
Income tax expense | ​ | $ | 15.9 | ​ | $ | 60.1 | ​ | $ | 33.8
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Components of income tax expense: | ​ |  |  | ​ |  |  | ​ |  |
Currently payable: | ​ |  |  | ​ |  |  | ​ |  |
U.S. federal and state | ​ | $ | 13.3 | ​ | $ | 29.7 | ​ | $ | 16.3
Non-U.S. | ​ |  | 14.9 | ​ |  | 21.5 | ​ |  | 20.1
Total | ​ |  | 28.2 | ​ |  | 51.2 | ​ |  | 36.4
Deferred income taxes (benefit): | ​ |  |  | ​ |  |  | ​ |  |
U.S. federal and state | ​ |  | (10.3) | ​ |  | (1.7) | ​ |  | (3.9)
Non-U.S. | ​ |  | (2.0) | ​ |  | 10.6 | ​ |  | 1.3
Total | ​ |  | (12.3) | ​ |  | 8.9 | ​ |  | (2.6)
Income tax expense | ​ | $ | 15.9 | ​ | $ | 60.1 | ​ | $ | 33.8
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Comprehensive provision for income taxes allocable to: | ​ |  |  | ​ |  |  | ​ |  |
Income from continuing operations | ​ | $ | 15.9 | ​ | $ | 60.1 | ​ | $ | 33.8
Discontinued operations | ​ |  | .6 | ​ |  | — | ​ |  | —
Other comprehensive income (loss): | ​ |  |  | ​ |  | ​ | ​ |  | ​
Currency translation | ​ |  | 1.6 | ​ |  | (.8) | ​ |  | (3.3)
Pension plans | ​ |  | (7.3) | ​ |  | 29.7 | ​ |  | 60.7
Other | ​ |  | (.4) | ​ |  | — | ​ |  | .9
Total | ​ | $ | 10.4 | ​ | $ | 89.0 | ​ | $ | 92.1
​
Components of Net Deferred Tax Asset (Liability) | The components of the net deferred income taxes at December 31, 2021 and 2022 are summarized in the following table.
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31,
​ |  | 2021 | ​ | 2022
​ | ​ | Assets | ​ | Liabilities | ​ | Assets | ​ | Liabilities
​ |  | ​ | (In millions)
Tax effect of temporary differences related to: |  | ​ |  |  | ​ |  |  | ​ |  |  | ​ |
Inventories | ​ | $ | — | ​ | $ | (2.5) | ​ | $ | — | ​ | $ | (5.3)
Property and equipment | ​ |  | — | ​ |  | (70.4) | ​ |  | — | ​ |  | (62.8)
Lease assets (liabilities) | ​ |  | 5.0 | ​ |  | (5.1) | ​ |  | 5.3 | ​ |  | (5.4)
Accrued OPEB costs | ​ |  | 2.8 | ​ |  | — | ​ |  | 2.0 | ​ |  | —
Accrued pension costs | ​ |  | 74.1 | ​ |  | — | ​ |  | 22.0 | ​ |  | —
Accrued environmental liabilities | ​ |  | 28.5 | ​ |  | — | ​ |  | 25.9 | ​ |  | —
Other deductible differences | ​ |  | 9.3 | ​ |  | — | ​ |  | 12.0 | ​ |  | —
Other taxable differences | ​ |  | — | ​ |  | (15.5) | ​ |  | — | ​ |  | (15.8)
Investments in subsidiaries and affiliates | ​ |  | 7.3 | ​ |  | (52.7) | ​ |  | 6.7 | ​ |  | (62.3)
Tax on unremitted earnings of non-U.S. subsidiaries | ​ |  | — | ​ |  | (11.2) | ​ |  | — | ​ |  | (11.4)
Tax loss and tax credit carryforwards | ​ |  | 89.4 | ​ |  | — | ​ |  | 82.6 | ​ |  | —
Valuation allowance | ​ |  | (18.4) | ​ |  | — | ​ |  | (16.5) | ​ |  | —
Adjusted gross deferred tax assets (liabilities) | ​ |  | 198.0 | ​ |  | (157.4) | ​ |  | 140.0 | ​ |  | (163.0)
Netting of items by tax jurisdiction | ​ |  | (111.2) | ​ |  | 111.2 | ​ |  | (99.5) | ​ |  | 99.5
Net noncurrent deferred tax asset (liability) | ​ | $ | 86.8 | ​ | $ | (46.2) | ​ | $ | 40.5 | ​ | $ | (63.5)
​
Changes in Uncertain Tax Positions | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Years ended December 31,
​ |  | 2020 |  | 2021 | ​ | 2022
​ |  | ​ | (In millions)
Unrecognized tax benefits: |  | ​ |  |  | ​ |  | ​ |  |
Amount at beginning of year | ​ | $ | 13.8 | ​ | $ | 9.6 | ​ | $ | 6.4
Net increase (decrease): | ​ |  |  | ​ |  |  | ​ |  |
Tax positions taken in prior periods | ​ |  | (.3) | ​ |  | — | ​ |  | —
Tax positions taken in current period | ​ |  | .6 | ​ |  | .6 | ​ |  | .7
Lapse due to applicable statute of limitations | ​ |  | (4.8) | ​ |  | (3.6) | ​ |  | (3.4)
Changes in currency exchange rates | ​ |  | .3 | ​ |  | (.2) | ​ |  | (.2)
Amount at end of year | ​ | $ | 9.6 | ​ | $ | 6.4 | ​ | $ | 3.5

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