Three months ended

Six months ended

June 30,

2022

2023

2022

2023

(In thousands)

Expected tax expense (benefit), at U.S. federal statutory
income tax rate of 21%

$

7,873

$

(2,077)

$

12,475

$

(3,026)

Rate differences on equity in earnings (losses) of Kronos,
net of dividends

(1,449)

(5,146)

(3,363)

(2,841)

U.S. state income taxes and other, net

11

(77)

28

(12)

Income tax expense (benefit)

$

6,435

$

(7,300)

$

9,140

$

(5,879)

Comprehensive provision for income taxes allocable to:

Net income (loss)

$

6,435

$

(7,300)

$

9,140

$

(5,879)

Additional paid-in capital

9

110

125

18

Other comprehensive income (loss):

Currency translation

(2,323)

(371)

(1,903)

(814)

Pension plans

228

295

460

399

Other

(17)

(50)

(35)

(84)

Total

$

4,332

$

(7,316)

$

7,787

$

(6,360)