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Long-term debt - Kronos 9.50 Senior Secured Notes - Additional Information (Details) € in Thousands, $ in Millions |  | 3 Months Ended | 9 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | --- | ---
Sep. 15, 2025 USD ($) | Sep. 15, 2025 EUR (€) | Mar. 31, 2024 USD ($) | Sep. 30, 2025 USD ($) | Sep. 30, 2024 USD ($) | Sep. 30, 2025 EUR (€) | Dec. 31, 2024 | Jul. 30, 2024 EUR (€) | Feb. 12, 2024 EUR (€)
Long-term debt |  |  |  |  |  |  |  |  |
Additional principal amount |  |  |  | $ 88.0 | $ 80.2 |  |  |  |
Kronos Worldwide | 9.50% Senior Secured Notes due 2029 | Kronos International, Inc |  |  |  |  |  |  |  |  |
Long-term debt |  |  |  |  |  |  |  |  |
Debt instrument interest rate |  | 9.50% |  | 9.50% |  | 9.50% | 9.50% | 9.50% | 9.50%
Additional principal amount | € |  | € 75,000 |  |  |  |  |  |  |
Debt instrument principal amount | € |  |  |  |  |  | € 426,174 |  | € 351,174 | € 351,174
Principal amount outstanding |  |  |  | $ 502.3 |  |  |  |  |
Premium percentage |  | 105.00% |  |  |  |  |  |  |
Net proceeds from issuance | $ 90.0 |  |  |  |  |  |  |  |
Unamortized premium |  |  |  | 9.3 |  |  |  |  |
Unamortized debt issuance costs |  |  |  | $ 7.4 |  |  |  |  |
Interest charge included in interest expense |  |  | $ 1.5 |  |  |  |  |  |
Debt issuance costs | $ 1.7 |  |  |  |  |  |  |  |
Kronos Worldwide | 3.75% Senior Secured Notes due 2025 | Kronos International, Inc |  |  |  |  |  |  |  |  |
Long-term debt |  |  |  |  |  |  |  |  |
Debt instrument interest rate |  | 3.75% |  | 3.75% |  | 3.75% | 3.75% |  |
Debt instrument principal amount | € |  | € 75,000 |  |  |  | € 75,000 |  |  |

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