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Stockholders' equity (Tables)
12 Months Ended
Dec. 31, 2023
Stockholders' equity  
Schedule of changes in accumulated other comprehensive loss

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Years ended December 31, 

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2021

    

2022

    

2023

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(In millions)

Accumulated other comprehensive loss, net of tax:

 

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Currency translation:

 

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Balance at beginning of period

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$

(233.4)

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$

(240.4)

​

$

(269.2)

Other comprehensive income (loss)

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(7.0)

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(28.8)

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3.7

Balance at end of period

​

$

(240.4)

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$

(269.2)

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$

(265.5)

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​

​

​

​

​

​

​

​

​

Defined benefit pension plans:

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​

 

  

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Balance at beginning of period

​

$

(214.5)

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$

(163.3)

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$

(63.1)

Other comprehensive income:

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​

​

​

​

​

​

​

Amortization of prior service cost and net losses
  included in net periodic pension cost

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​

14.9

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9.9

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2.0

Net actuarial gain (loss) arising during year

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​

36.3

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90.3

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(16.0)

Plan settlement

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-

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-

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1.1

Balance at end of period

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$

(163.3)

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$

(63.1)

​

$

(76.0)

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​

​

​

​

​

​

​

​

​

OPEB plans:

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​

 

  

​

 

  

Balance at beginning of period

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$

(.3)

​

$

(.4)

​

$

.8

Other comprehensive loss - amortization
   of prior service credit and net losses
   included in net periodic OPEB cost

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(.3)

​

 

(.3)

​

 

(.2)

Net actuarial gain (loss) arising during year

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​

.2

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​

1.5

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​

(.2)

Balance at end of period

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$

(.4)

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$

.8

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$

.4

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​

​

​

​

​

​

​

​

​

Total accumulated other comprehensive loss:

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​

 

  

​

 

  

Balance at beginning of period

​

$

(448.2)

​

$

(404.1)

​

$

(331.5)

Other comprehensive income (loss)

​

 

44.1

​

 

72.6

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(9.6)

Balance at end of period

​

$

(404.1)

​

$

(331.5)

​

$

(341.1)