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Income taxes (Tables)
9 Months Ended
Sep. 30, 2022
Income taxes  
Component 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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2021

    

2022

    

2021

    

2022

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(In millions)

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

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$

2.5

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$

(2.9)

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$

9.1

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$

9.6

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

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(1.5)

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(2.7)

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(3.7)

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(6.1)

U.S. state income taxes and other, net

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.1

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.1

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.1

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.1

Income tax expense (benefit)

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$

1.1

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$

(5.5)

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$

5.5

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$

3.6

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Comprehensive provision (benefit) for income taxes allocable to:

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Net income (loss)

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$

1.1

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$

(5.5)

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$

5.5

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$

3.6

Additional paid-in capital

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—

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—

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—

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.1

Other comprehensive income:

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Currency translation

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(.5)

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(1.7)

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(.2)

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(3.6)

Pension plans

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.3

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.2

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.9

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.7

Total

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$

.9

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$

(7.0)

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$

6.2

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$

.8