Three months ended

Six months ended

June 30,

2023

2024

2023

2024

(In thousands)

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

$

(2,077)

$

2,048

$

(3,026)

$

3,792

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

(5,146)

(776)

(2,841)

(1,558)

U.S. state income taxes and other, net

(77)

30

(12)

56

Income tax expense (benefit)

$

(7,300)

$

1,302

$

(5,879)

$

2,290

Comprehensive provision (benefit) for income taxes
allocable to:

Net income (loss)

$

(7,300)

$

1,302

$

(5,879)

$

2,290

Additional paid-in capital

110

8

18

8

Other comprehensive income (loss):

Currency translation

(371)

124

(814)

(1,196)

Pension plans

295

101

399

202

Other

(50)

(11)

(84)

(19)

Total

$

(7,316)

$

1,524

$

(6,360)

$

1,285