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Long-term debt - Additional Information (Detail) - NLKW Holding, LLC - Valhi - Valhi Credit Facility
9 Months Ended
Sep. 30, 2023
USD ($)
Debt Instrument [Line Items]  
Maximum borrowing under credit facility $ 50,000,000
Borrowings or repayments under revolving credit facility 0
Outstanding borrowing 500,000
Amount available for future borrowing under revolving credit facility $ 49,500,000
Debt instrument, description of variable rate basis prime rate
Variable rate basis spread above reference rate 1.875%
Debt instrument average interest rate 9.97%
Debt instrument interest rate 10.38%