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Financial instruments - Financial Instruments not Carried at Fair Value (Detail) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Reported Value Measurement [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Cash, cash equivalents and restricted cash equivalents $ 462.0 $ 562.0
Estimate of Fair Value Measurement [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Cash, cash equivalents and restricted cash equivalents 462.0 562.0
Kronos Worldwide, Inc. | 3.75% Senior Secured Notes due September 15, 2025 | Kronos International, Inc | Reported Value Measurement [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Long term debt, carrying amount 440.9 424.1
Kronos Worldwide, Inc. | 3.75% Senior Secured Notes due September 15, 2025 | Kronos International, Inc | Estimate of Fair Value Measurement [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Long term debt, fair value 424.5 374.2
VALHI, INC. | Contran Credit Facility | Reported Value Measurement [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Long term debt, carrying amount 93.4 121.4
VALHI, INC. | Contran Credit Facility | Estimate of Fair Value Measurement [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Long term debt, fair value 93.4 121.4
LandWell | Bank note payable | Reported Value Measurement [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Long term debt, carrying amount 12.2 12.9
LandWell | Bank note payable | Estimate of Fair Value Measurement [Member]    
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]    
Long term debt, fair value $ 12.2 $ 12.9