Income taxes (Tables)

3 Months Ended

Mar. 31, 2023

Income taxes

Component of Income Taxes

	Three months ended
	March 31,
	2022		2023
	(In thousands)
Expected tax expense (benefit), at U.S. federal statutory   income tax rate of 21%	$	4,602	$	(949)
Rate differences on equity in earnings of Kronos, net of dividends		(1,914)		2,305
U.S. state income taxes and other, net		17		65
Income tax expense	$	2,705	$	1,421
Comprehensive provision for income taxes allocable to:
Net income	$	2,705	$	1,421
Additional paid-in capital		116		(92)
Other comprehensive income (loss):
Currency translation		420		(443)
Pension plans		232		104
Other		(18)		(34)
Total	$	3,455	$	956