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Organization and basis of presentation - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Jul. 16, 2024
Dec. 31, 2023
Jun. 30, 2023
Mar. 31, 2023
Dec. 31, 2022
Organization and basis of presentation [Line Items]                  
Deferred Income Tax Liabilities $ (40.4)   $ (40.4)     $ (17.1)      
Retained earnings 554.2   554.2     475.8      
Income tax expense (benefit) $ 34.3 $ (7.8) $ 46.6 $ (19.8)          
Basic net loss per share $ 2.01 $ (0.21) $ 2.99 $ (0.52)          
Diluted net loss per share $ 2.01 $ (0.21) $ 2.99 $ (0.52)          
Net cash used in operating activities     $ (1.8) $ (61.2)          
Net cash used in investing activities     (117.6) (48.1)          
Net cash used in financing activities     $ 18.1 (53.2)          
Restatement adjustment                  
Organization and basis of presentation [Line Items]                  
Deferred Income Tax Liabilities           $ 14.7      
Retained earnings   $ 13.7   13.7     $ 13.5 $ 11.6 $ 12.5
Income tax expense (benefit)   $ 0.2   $ 1.2          
Basic net loss per share   $ 0   $ (0.04)          
Diluted net loss per share   $ 0   $ (0.04)          
Net cash used in operating activities       $ 0.0          
Net cash used in investing activities       0.0          
Net cash used in financing activities       $ 0.0          
Kronos | Louisiana Pigment Company                  
Organization and basis of presentation [Line Items]                  
Percentage acquired         50.00%        
Contran | Valhi Incorporation                  
Organization and basis of presentation [Line Items]                  
Parent company ownership interest 91.00%   91.00%