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Business and geographic segments - Additional Information (Detail)
$ in Millions
3 Months Ended
Mar. 31, 2023
USD ($)
Segment Reporting Information [Line Items]  
Insurance recoveries $ 1.7
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 | Valhi Incorporation  
Segment Reporting Information [Line Items]  
Direct ownership percentage by parent 63.00%