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Business and geographic segments - Additional Information (Detail)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 01, 2023
USD ($)
Sep. 30, 2022
USD ($)
Dec. 31, 2023
USD ($)
segment
Dec. 31, 2022
USD ($)
Segment Reporting Information [Line Items]        
Loss on deconsolidation of Basic Water Company (BWC)       $ (2.0)
Loss on sale of Basic Power Company (BPC) $ 2.6      
Number of operating segments | segment     3  
Non-U.S. subsidiaries        
Segment Reporting Information [Line Items]        
Net assets of non-U.S. subsidiaries     $ 653.0 $ 699.0
Kronos Worldwide, Inc. | Valhi Incorporation        
Segment Reporting Information [Line Items]        
Direct ownership percentage by parent     50.00%  
Kronos Worldwide, Inc. | NL        
Segment Reporting Information [Line Items]        
Indirect controlling interest in subsidiary     31.00%  
NL | Valhi Incorporation        
Segment Reporting Information [Line Items]        
Direct ownership percentage by parent     83.00%  
LandWell | Valhi Incorporation        
Segment Reporting Information [Line Items]        
Direct ownership percentage by parent     27.00%  
LandWell | BMI        
Segment Reporting Information [Line Items]        
Indirect controlling interest in subsidiary     50.00%  
BMI        
Segment Reporting Information [Line Items]        
Loss on deconsolidation of Basic Water Company (BWC)   $ 2.0    
Bad debt expense recognized   $ 1.3    
BMI | Valhi Incorporation        
Segment Reporting Information [Line Items]        
Direct ownership percentage by parent     63.00%