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Income taxes - Additional Information (Details) - USD ($)
$ in Thousands
9 Months Ended
Jul. 18, 2025
Sep. 30, 2025
Sep. 30, 2024
Income Tax Disclosure [Line Items]      
Dividends received from Kronos Worldwide, Inc.   $ 5,283 $ 15,144
Foreign country      
Income Tax Disclosure [Line Items]      
Percentage of before current income tax expense (benefit) 15.00%    
Percentage of reduction in enacted tax rate 1.00%    
Percentage of after current income tax expense (benefit) 10.00%    
Non-cash deferred income tax expense $ 19,300