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Long-term debt - Senior Notes (Details)
€ in Thousands, $ in Millions
3 Months Ended
Mar. 31, 2024
USD ($)
Mar. 31, 2025
USD ($)
Mar. 31, 2025
EUR (€)
Dec. 31, 2024
USD ($)
Long-term debt        
Revolving credit facility   $ 43.2   $ 10.0
3.75% Senior Secured Notes due 2025        
Long-term debt        
Debt instrument interest rate   3.75% 3.75% 3.75%
Debt instrument principal amount | €     € 75,000  
9.50% Senior Secured Notes due 2029        
Long-term debt        
Debt instrument interest rate   9.50% 9.50% 9.50%
Kronos International, Inc | 3.75% Senior Secured Notes due 2025        
Long-term debt        
Debt instrument interest rate   3.75% 3.75% 3.75%
Debt instrument principal amount | €     € 75,000  
Principal amount outstanding   $ 81.2   $ 78.3
Kronos International, Inc | 9.50% Senior Secured Notes due 2029        
Long-term debt        
Debt instrument interest rate   9.50% 9.50% 9.50%
Debt instrument principal amount | €     € 351,174  
Principal amount outstanding   $ 379.1   $ 365.4
Unamortized premium   5.1    
Debt issuance costs   $ 6.1    
Interest expense $ 1.5