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Fair value measurements and financial instruments - Financial instruments recorded on a fair value (Details)
€ in Millions, $ in Millions
1 Months Ended 3 Months Ended 9 Months Ended
Aug. 31, 2025
USD ($)
Sep. 30, 2025
USD ($)
Sep. 30, 2025
USD ($)
Sep. 30, 2024
USD ($)
Sep. 30, 2025
EUR (€)
Sep. 15, 2025
EUR (€)
Mar. 31, 2025
EUR (€)
Dec. 31, 2024
USD ($)
Fair value measurements and financial instruments                
Market value, current   $ 3.1 $ 3.1         $ 1.9
Market value, noncurrent   5.8 5.8         5.7
Earn-out liability               $ (4.3)
Foreign currency transaction loss   0.4            
Foreign currency transaction gain     2.8          
Currency transactions, net     3.2 $ 4.9        
Foreign exchange forward | Kronos | Kronos International, Inc                
Fair value measurements and financial instruments                
Contract to purchase | €             € 25  
Exchange rate             1.05  
Cash received from contract settlement $ 2.8              
Currency forward contract   $ 0.0 $ 0.0          
3.75% Senior Secured Notes due 2025 | Kronos | Kronos International, Inc                
Fair value measurements and financial instruments                
Debt instrument principal amount | €         € 75 € 75    
Debt instrument interest rate   3.75% 3.75%   3.75% 3.75%   3.75%
Quoted prices in active markets (Level 1)                
Fair value measurements and financial instruments                
Market value, noncurrent   $ 2.9 $ 2.9         $ 2.6
Significant other observable input (Level 2)                
Fair value measurements and financial instruments                
Market value, current   3.1 3.1         1.9
Market value, noncurrent   $ 2.9 $ 2.9         3.1
Significant unobservable inputs (Level 3)                
Fair value measurements and financial instruments                
Earn-out liability               $ (4.3)