Three months ended

Nine months ended

September 30,

2022

2023

2022

2023

(In thousands)

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

$

(2,926)

$

(62)

$

9,550

$

(3,088)

Rate differences on equity in losses of Kronos,
net of dividends

(2,712)

(1,037)

(6,075)

(3,878)

U.S. state income taxes and other, net

62

134

89

122

Income tax expense (benefit)

$

(5,576)

$

(965)

$

3,564

$

(6,844)

Comprehensive provision (benefit) for income taxes allocable to:

Net income (loss)

$

(5,576)

$

(965)

$

3,564

$

(6,844)

Additional paid-in capital

—

125

18

Other comprehensive income (loss):

Currency translation

(1,657)

(92)

(3,560)

(906)

Pension plans

219

104

679

503

Other

(18)

6

(52)

(78)

Total

$

(7,032)

$

(947)

$

756

$

(7,307)