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Commitments and contingencies (Tables) | 12 Months Ended
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Dec. 31, 2023
Commitments And Contingencies Disclosure [Abstract] |
Change in Accrued Environmental Remediation and Related Costs | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Years ended December 31,
​ |  | 2021 |  | 2022 |  | 2023
​ | ​ | (In millions)
Balance at the beginning of the year | ​ | $ | 98.6 | ​ | $ | 97.6 | ​ | $ | 97.3
Additions charged to expense, net | ​ |  | 1.6 | ​ |  | 1.7 | ​ |  | 2.5
Payments, net | ​ |  | (2.5) | ​ |  | (2.0) | ​ |  | (2.9)
Changes in currency exchange rates and other | ​ |  | (.1) | ​ |  | — | ​ |  | —
Balance at the end of the year | ​ | $ | 97.6 | ​ | $ | 97.3 | ​ | $ | 96.9
Amounts recognized in the Consolidated Balance Sheet at the end of the year: | ​ |  |  | ​ |  |  | ​ |  |
Current liabilities | ​ | $ | 3.5 | ​ | $ | 3.8 | ​ | $ | 3.7
Noncurrent liabilities | ​ |  | 94.1 | ​ |  | 93.5 | ​ |  | 93.2
Total | ​ | $ | 97.6 | ​ | $ | 97.3 | ​ | $ | 96.9
Approximate Percentage of TiO2 Sales by Volume for Segments | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | 2021 |  | 2022 |  | 2023 |
Europe |  | 46% | ​ | 45% | ​ | 44% | ​
North America |  | 37% | ​ | 39% | ​ | 41% | ​

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