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Long-term debt - Subordinated, Unsecured Term Loan from Contran (Details)
€ in Millions, $ in Millions
1 Months Ended 12 Months Ended
Feb. 12, 2024
USD ($)
Feb. 12, 2024
EUR (€)
Jul. 31, 2024
Feb. 29, 2024
Dec. 31, 2024
USD ($)
Aug. 31, 2024
Debt Instrument [Line Items]            
Kronos term loan from Contran         $ 53.7  
Kronos Worldwide | Subordinated, unsecured term loan from Contran            
Debt Instrument [Line Items]            
Kronos term loan from Contran $ 53.7 € 50.0     $ 53.7  
Interest rate     11.50%     9.54%
Interest rate spread     2.00% 2.00%