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Income taxes (Tables)
6 Months Ended
Jun. 30, 2023
Income taxes Disclosure [Abstract]  
Component of Income Taxes Expenses

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Three months ended

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Six months ended

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June 30, 

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June 30, 

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2022

    

2023

    

2022

    

2023

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(In millions)

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

  

$

11.8

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$

(1.4)

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$

29.3

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$

(3.5)

Non-U.S. tax rates

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1.2

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(2.4)

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3.3

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(2.4)

Incremental net tax benefit on earnings and losses of U.S.
  and non-U.S. tax group companies

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(.4)

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(5.5)

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(1.3)

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(5.1)

Valuation allowance

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(.4)

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1.9

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.2

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1.0

Global intangible low-tax income, net

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.7

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1.6

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1.4

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.1

Adjustment to the reserve for uncertain tax positions, net

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.3

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.7

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(.4)

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(.7)

Adjustment of prior year taxes, net

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—

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—

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—

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(.4)

Nondeductible expenses

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.2

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1.0

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.6

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.5

U.S. state income taxes and other, net

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.6

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(.8)

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.8

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(.5)

Income tax expense (benefit)

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$

14.0

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$

(4.9)

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$

33.9

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$

(11.0)

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Comprehensive provision (benefit) for income taxes
  allocable to:

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Net income (loss)

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$

14.0

​

$

(4.9)

​

$

33.9

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$

(11.0)

Other comprehensive income (loss):

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Currency translation

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(4.1)

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(.6)

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(3.4)

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(1.4)

Pension plans

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1.4

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.8

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2.8

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1.1

Other

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—

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(.1)

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.2

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(.3)

Total

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$

11.3

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$

(4.8)

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$

33.5

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$

(11.6)