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Income taxes - Component of Income Taxes (Detail) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Income taxes        
Expected tax expense, at U.S. federal statutory income tax rate of 21% $ 7,900 $ 3,200 $ 12,500 $ 6,600
Rate differences on equity in earnings of Kronos, net of dividends (1,500) (1,200) (3,400) (2,200)
U.S. state income taxes and other, net   (100)    
Income tax expense $ 6,435 $ 1,901 $ 9,140 $ 4,406