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Income taxes
6 Months Ended
Jun. 30, 2024
Income taxes  
Income taxes

Note 11 – Income taxes:

Three months ended

Six months ended

June 30, 

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

In accordance with GAAP, we recognize deferred income taxes on our undistributed equity in earnings (losses) of Kronos. Because we and Kronos are part of the same U.S. federal income tax group, any dividends we receive from Kronos are nontaxable to us. Accordingly, we do not recognize and we are not required to pay income taxes on dividends from Kronos. We received aggregate dividends from Kronos of $13.4 million in each of the first six month periods of 2023 and 2024. The amounts shown in the above table of our income tax rate reconciliation for rate differences on equity in earnings (losses) of Kronos, net of dividends, represent the income tax benefit associated with the nontaxable dividends we received from Kronos compared to the amount of deferred income taxes we recognized on our equity in earnings (losses) of Kronos.