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Income taxes (Tables)
9 Months Ended
Sep. 30, 2024
Income taxes  
Schedule of Income Taxes

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Three months ended

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Nine months ended

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September 30, 

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September 30, 

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2023

    

2024

    

2023

    

2024

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(In thousands)

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

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$

(62)

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$

9,425

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$

(3,088)

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$

13,217

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

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(1,037)

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(954)

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(3,878)

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(2,512)

U.S. state income taxes and other, net

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134

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37

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122

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93

Income tax expense (benefit)

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$

(965)

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$

8,508

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$

(6,844)

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$

10,798

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Comprehensive provision (benefit) for income taxes
  allocable to:

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Net income (loss)

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$

(965)

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$

8,508

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$

(6,844)

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$

10,798

Additional paid-in capital

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—

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—

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18

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8

Other comprehensive income (loss):

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Currency translation

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(92)

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404

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(906)

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(792)

Pension plans

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104

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99

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503

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301

Other

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6

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(14)

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(78)

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(33)

Total

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$

(947)

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$

8,997

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$

(7,307)

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$

10,282