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Income taxes - Additional Information (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022 | Dec. 31, 2021 | Dec. 31, 2017
Income Tax [Line Items] |  |  |  |
Deferred tax assets valuation allowance | $ 6.4 | $ 3.8 |  |
Term of operating loss carryforwards | 20 years |  |  |
Business interest income, adjusted taxable income | 30.00% |  |  |
Deferred tax assets carryforwards related to nondeductible portion of interest expense | $ 3.5 | 0.9 |  |
Transition tax |  |  |  | $ 74.5
Income tax liability payable period | 8 years |  |  |
Noncurrent payable to affiliates | $ 18.6 | 33.5 |  |
Current payables to affiliates | 31.3 | 22.9 |  |
Unrecognized tax benefits that would impact effective tax rate | 2.8 |  |  |
Non-cash deferred income tax benefit | 35.6 | (1.6) | $ (11.0) |
Non-cash deferred income tax expense | 2.6 |  |  |
Related party |  |  |  |
Income Tax [Line Items] |  |  |  |
Noncurrent payable to affiliates | 18.6 | 33.5 |  |
Current payables to affiliates | 31.3 | $ 22.9 |  |
Related party | Valhi |  |  |  |
Income Tax [Line Items] |  |  |  |
Noncurrent payable to affiliates | 18.6 |  |  |
Current payables to affiliates | 14.9 |  |  |
Payable to affiliate | 33.5 |  |  |
Germany | Corporate Purposes |  |  |  |
Income Tax [Line Items] |  |  |  |
Net operating loss carryforwards | 478.7 |  |  |
Deferred tax assets, operating loss carryforwards | 75.8 |  |  |
Germany | Trade tax purposes |  |  |  |
Income Tax [Line Items] |  |  |  |
Net operating loss carryforwards | 54.5 |  |  |
Deferred tax assets, operating loss carryforwards | 5.9 |  |  |
Belgium | Corporate Purposes |  |  |  |
Income Tax [Line Items] |  |  |  |
Net operating loss carryforwards | 47.0 |  |  |
Deferred tax assets, operating loss carryforwards | 11.8 |  |  |
Canada | Corporate Purposes |  |  |  |
Income Tax [Line Items] |  |  |  |
Net operating loss carryforwards | 31.5 |  |  |
Deferred tax assets, operating loss carryforwards | 4.7 |  |  |
Canada | Provincial tax purposes |  |  |  |
Income Tax [Line Items] |  |  |  |
Net operating loss carryforwards | 34.9 |  |  |
Deferred tax assets, operating loss carryforwards | $ 4.0 |  |  |

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