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Stockholders' equity - Additional Information (Detail) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2022
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Class Of Stock [Line Items]                              
Payments of dividends                         $ 13.7 $ 11.7 $ 7.8
Special dividend declared and paid                         $ 17.1    
Special dividend declared and paid (per share)                         $ 0.35    
Quarterly dividends paid (in dollars per share) $ 0.07 $ 0.07 $ 0.07 $ 0.07 $ 0.06 $ 0.06 $ 0.06 $ 0.06 $ 0.04 $ 0.04 $ 0.04 $ 0.04      
Kronos                              
Class Of Stock [Line Items]                              
Number of shares purchased in market transaction                         2,000    
NL                              
Class Of Stock [Line Items]                              
Common stock awarded to board of directors                         15,000 13,750 33,250
Shares available for award 51,150                       51,150    
NL | Maximum                              
Class Of Stock [Line Items]                              
Aggregate of common stock awarded to directors                         200,000    
CompX                              
Class Of Stock [Line Items]                              
Number of shares available for purchase under repurchase authorizations 523,647                       523,647    
Shares available for award 131,050                       131,050    
CompX | Common Class A                              
Class Of Stock [Line Items]                              
Number of shares purchased in market transaction                         78,900 75,000  
Value of of shares purchased in market transaction                         $ 1.7 $ 1.3  
CompX | Common Class A | Affiliates                              
Class Of Stock [Line Items]                              
Number of shares purchased in market transaction                         8,900    
CompX | Common Class A | Open Market Transaction                              
Class Of Stock [Line Items]                              
Number of shares purchased in market transaction                         70,000    
CompX | Maximum                              
Class Of Stock [Line Items]                              
Aggregate of common stock awarded to directors                         200,000    
Kronos                              
Class Of Stock [Line Items]                              
Shares available for award 111,800                       111,800    
Kronos | Maximum                              
Class Of Stock [Line Items]                              
Aggregate of common stock awarded to directors                         200,000