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Income taxes (Tables) | 9 Months Ended
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Sep. 30, 2025
Income taxes |
Component of Income Taxes Expenses | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Three months ended | ​ | Nine months ended
​ | ​ | September 30, | ​ | September 30,
​ |  | 2024 |  | 2025 |  | 2024 |  | 2025
​ | ​ | (In millions)
Expected tax expense (benefit) at U.S. federal statutory income tax rate of 21% |  | $ | 25.2 | ​ | $ | (1.6) | ​ | $ | 36.9 | ​ | $ | 8.1
Non-U.S. tax rates | ​ |  | .5 | ​ |  | (.5) | ​ |  | .4 | ​ |  | (.3)
Incremental net tax expense (benefit) on earnings and losses of U.S. and non-U.S. tax group companies and other affiliates | ​ |  | 4.5 | ​ |  | (20.8) | ​ |  | .2 | ​ |  | (23.3)
Global intangible low-taxed income, net | ​ |  | 1.5 | ​ |  | (1.9) | ​ |  | 2.9 | ​ |  | .6
Valuation allowance, net | ​ | ​ | 1.3 | ​ | ​ | 17.7 | ​ | ​ | 3.8 | ​ | ​ | 23.2
Nondeductible expenses | ​ | ​ | .5 | ​ | ​ | 5.1 | ​ | ​ | 1.1 | ​ | ​ | 6.4
Impact of tax rate change | ​ | ​ | — | ​ | ​ | 19.3 | ​ | ​ | — | ​ | ​ | 19.3
U.S. state income tax expense (benefit), net | ​ | ​ | 1.1 | ​ | ​ | (2.5) | ​ | ​ | 1.4 | ​ | ​ | (2.7)
Other, net | ​ | ​ | (.3) | ​ | ​ | (.5) | ​ | ​ | (.1) | ​ | ​ | (1.0)
Income tax expense | ​ | $ | 34.3 | ​ | $ | 14.3 | ​ | $ | 46.6 | ​ | $ | 30.3
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Comprehensive provision for income taxes allocable to: | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Net income (loss) | ​ | $ | 34.3 | ​ | $ | 14.3 | ​ | $ | 46.6 | ​ | $ | 30.3
Other comprehensive income (loss): | ​ |  |  | ​ |  |  | ​ |  |  | ​ |  |
Currency translation | ​ |  | .7 | ​ |  | — | ​ |  | (1.4) | ​ |  | 3.6
Pension plans | ​ |  | .2 | ​ |  | .2 | ​ |  | .8 | ​ |  | .6
Other | ​ |  | .2 | ​ |  | — | ​ |  | — | ​ |  | —
Total | ​ | $ | 35.4 | ​ | $ | 14.5 | ​ | $ | 46.0 | ​ | $ | 34.5

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- Definition Tabular disclosure of the reconciliation using percentage or dollar amounts of the reported amount of income tax expense attributable to continuing operations for the year to the amount of income tax expense that would result from applying domestic federal statutory tax rates to pretax income from continuing operations. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 55 -Paragraph 231 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482663/740-10-55-231 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 12A -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-12A Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 12 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482685/740-10-50-12 + Details
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