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Income taxes | 3 Months Ended
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Mar. 31, 2023
Income taxes Disclosure [Abstract] |
Income taxes | Note 13 – Income taxes: ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Three months ended
​ | ​ | March 31,
​ |  | 2022 |  | 2023
​ | ​ | (In millions)
Expected tax expense (benefit) at U.S. federal statutory income tax rate of 21% |  | $ | 17.5 | ​ | $ | (2.1)
Non-U.S. tax rates | ​ |  | 2.1 | ​ |  | —
Incremental net tax benefit on earnings and losses of U.S. and non-U.S. tax group companies | ​ |  | (.9) | ​ |  | .4
Valuation allowance | ​ |  | .6 | ​ |  | (.9)
Global intangible low-tax income, net | ​ |  | .7 | ​ |  | (1.5)
Adjustment to the reserve for uncertain tax positions, net | ​ |  | (.7) | ​ |  | (1.4)
Adjustment of prior year taxes, net | ​ | ​ | — | ​ | ​ | (.4)
Nondeductible expenses | ​ | ​ | .4 | ​ | ​ | (.5)
U.S. state income taxes and other, net | ​ | ​ | .2 | ​ | ​ | .3
Income tax expense (benefit) | ​ | $ | 19.9 | ​ | $ | (6.1)
​ | ​ | ​ | ​ | ​ | ​ | ​
Comprehensive provision for income taxes allocable to: | ​ |  |  | ​ |  |
Net income (loss) | ​ | $ | 19.9 | ​ | $ | (6.1)
Other comprehensive income (loss): | ​ |  |  | ​ |  |
Currency translation | ​ |  | .7 | ​ |  | (.8)
Pension plans | ​ |  | 1.4 | ​ |  | .3
Other | ​ |  | .2 | ​ |  | (.2)
Total | ​ | $ | 22.2 | ​ | $ | (6.8)
​ The amount shown in the preceding table of our income tax rate reconciliation for non-U.S. tax rates represents the result determined by multiplying the pre-tax earnings or losses of each of our non-U.S. subsidiaries by the difference between the applicable statutory income tax rate for each non-U.S. jurisdiction and the U.S. federal statutory tax rate. The amount shown on such table for incremental net tax benefit on earnings and losses on non-U.S. and non-tax group companies includes, as applicable, (i) deferred income taxes (or deferred income tax benefits) associated with the current year earnings of all our Chemicals Segment’s non-U.S. subsidiaries, (ii) current U.S. income taxes (or current income tax benefit) including U.S. personal holding company tax, as applicable, attributable to current-year income (losses) of one of our Chemicals Segment’s non-U.S. subsidiaries, which subsidiary is treated as a dual resident for U.S. income tax purposes, to the extent the current year income (losses) of such subsidiary is subject to U.S. income tax under the U.S. dual-resident provisions of the Internal Revenue Code, (iii) deferred income taxes associated with our direct investment in Kronos and (iv) current and deferred income taxes associated with distributions and earnings from our investments in LandWell and BMI. During the first quarter of 2023, we recognized a non-cash deferred income tax benefit of $1.0 million relating to a decrease in our unrecognized tax benefits due to the expiration of certain statutes of limitations. We recognized a similar non-cash deferred income tax benefit of $1.1 million in the first quarter of 2022, also due to the expiration of certain statutes of limitations. Tax authorities are examining certain of our U.S. and non-U.S. income tax returns and may propose tax deficiencies, including penalties and interest. We believe we have adequate accruals for additional taxes and related interest expense which could ultimately result from tax examinations. We believe the ultimate disposition of tax examinations should not have a material adverse effect on our consolidated financial position, results of operations or liquidity. We currently estimate that our unrecognized tax benefits will decrease by approximately $.2 million during the next twelve months primarily due to the expiration of certain statutes of limitations.

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- Definition The entire disclosure for income taxes. Disclosures may include net deferred tax liability or asset recognized in an enterprise's statement of financial position, net change during the year in the total valuation allowance, approximate tax effect of each type of temporary difference and carryforward that gives rise to a significant portion of deferred tax liabilities and deferred tax assets, utilization of a tax carryback, and tax uncertainties information. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 21 -URI https://asc.fasb.org/extlink&oid=121826272&loc=d3e32857-109319 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section S99 -Paragraph 2 -Subparagraph (SAB Topic 11.C) -URI https://asc.fasb.org/extlink&oid=122134291&loc=d3e330215-122817 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 17 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=121826272&loc=d3e32809-109319 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB TOPIC 6.I.5.Q1) -URI https://asc.fasb.org/extlink&oid=122134291&loc=d3e330036-122817 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 14 -URI https://asc.fasb.org/extlink&oid=121826272&loc=d3e32705-109319 Reference 6: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 270 -Section 50 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=6424409&loc=d3e44925-109338 Reference 7: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -URI https://asc.fasb.org/topic&trid=2144680 Reference 8: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=6424122&loc=d3e41874-109331 Reference 9: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)(2)) -URI https://asc.fasb.org/extlink&oid=120395691&loc=d3e23780-122690 + Details
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