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

Three months ended

Nine months ended

September 30, 

September 30, 

    

2022

    

2023

    

2022

    

2023

(In millions)

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

  

$

10.3

$

(2.0)

$

39.6

$

(5.5)

Non-U.S. tax rates

 

(2.0)

 

(1.9)

 

1.3

 

(4.3)

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

 

1.2

 

(4.4)

 

(.1)

 

(9.5)

Valuation allowance

 

(3.5)

 

.2

 

(3.3)

 

1.2

Global intangible low-tax income, net

 

.5

 

 

1.9

 

.1

Adjustment to the reserve for uncertain tax positions, net

 

.5

 

.1

 

.1

 

(.6)

Adjustment of prior year taxes, net

(.1)

(.5)

Nondeductible expenses

.6

.2

1.2

.7

U.S. state income taxes and other, net

.6

.3

1.4

(.2)

Income tax expense (benefit)

$

8.2

$

(7.6)

$

42.1

$

(18.6)

Comprehensive provision (benefit) for income taxes
  allocable to:

 

  

 

  

 

  

 

  

Net income (loss)

$

8.2

$

(7.6)

$

42.1

$

(18.6)

Other comprehensive income (loss):

 

  

 

  

 

  

 

  

Currency translation

 

(3.0)

 

(.2)

 

(6.4)

 

(1.6)

Pension plans

 

1.3

 

.3

 

4.1

 

1.4

Other

 

 

(.1)

 

.2

 

(.4)

Total

$

6.5

$

(7.6)

$

40.0

$

(19.2)