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Long-term debt - Kronos 9.50 Senior Secured Notes - Additional Information (Details) - Kronos Worldwide - 9.50% Senior Secured Notes due 2029 € in Thousands, $ in Millions	3 Months Ended
	Mar. 31, 2024 USD ($)	Mar. 31, 2025 EUR (€)	Mar. 31, 2025 USD ($)	Dec. 31, 2024	Feb. 12, 2024
Debt Instrument [Line Items]
Debt instrument interest rate					9.50%
Kronos International, Inc
Debt Instrument [Line Items]
Debt instrument interest rate		9.50%	9.50%	9.50%
Debt instrument principal amount \| €		€ 351,174
Principal amount outstanding			$ 379.1
Unamortized debt issuance costs			6.1
Unamortized premium			$ 5.1
Interest charge included in interest expense	$ 1.5