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Business and geographic segments - Additional Information (Detail)
$ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2022
USD ($)
Dec. 31, 2022
USD ($)
segment
Dec. 31, 2021
USD ($)
Dec. 31, 2020
USD ($)
Segment Reporting Information [Line Items]        
Insurance recoveries $ 2.7 $ 2.8 $ 0.1 $ 1.6
Fixed asset impairment   16.4    
Loss on deconsolidation of BWC   $ (2.0)    
Number of operating segments | segment   3    
Non-U.S. subsidiaries        
Segment Reporting Information [Line Items]        
Net assets of non-U.S. subsidiaries   $ 699.0 $ 575.0  
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 BWC   $ 2.0    
Bad debt expense recognized   $ 1.3    
BMI | Valhi Incorporation        
Segment Reporting Information [Line Items]        
Direct ownership percentage by parent   63.00%