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Fair value measurements and financial instruments - Additional Information (Details) - Kronos Worldwide - Kronos International, Inc - EUR (€)
Sep. 30, 2025
Sep. 15, 2025
Dec. 31, 2024
Jul. 30, 2024
Feb. 12, 2024
9.50% Senior Secured Notes due 2029          
Fair value measurements and financial instruments          
Interest rate 9.50% 9.50% 9.50% 9.50% 9.50%
Estimated market price of the notes € 1,057        
Principal amount of debt instrument € 1,000        
3.75% Senior Secured Notes due 2025          
Fair value measurements and financial instruments          
Interest rate 3.75% 3.75% 3.75%