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Employee Benefit Plans (Tables) - Defined Benefit Pension Plans
12 Months Ended
Dec. 31, 2021
Expected Benefit Payments

​

​

​

​

​

Years ending December 31, 

    

Amount

​

​

(In thousands)

2022

​

$

3,689

2023

​

 

3,647

2024

​

 

3,570

2025

​

 

3,493

2026

​

 

3,435

Next 5 years

​

 

15,885

Funded Status of Defined Benefit Plans

​

​

​

​

​

​

​

​

​

​

December 31, 

​

    

2020

    

2021

​

​

(In thousands)

Change in projected benefit obligations (PBO):

​

​

​

​

​

​

Benefit obligations at beginning of the year

​

$

50,350

​

$

52,873

Interest cost

​

 

1,483

​

 

947

Actuarial losses

​

 

4,353

​

 

295

Change in currency exchange rates

​

 

307

​

 

(73)

Benefits paid

​

 

(3,620)

​

 

(3,675)

Benefit obligations at end of the year

​

 

52,873

​

 

50,367

​

​

​

​

​

​

​

Change in plan assets:

​

 

  

​

 

  

Fair value of plan assets at beginning of the year

​

 

46,313

​

 

50,260

Actual return on plan assets

​

 

5,308

​

 

226

Employer contributions

​

 

1,841

​

 

1,169

Change in currency exchange rates

​

 

418

​

 

(40)

Benefits paid

​

 

(3,620)

​

 

(3,675)

Fair value of plan assets at end of year

​

 

50,260

​

 

47,940

Funded status

​

$

(2,613)

​

$

(2,427)

​

​

​

​

​

​

​

Amounts recognized in the balance sheet:

​

 

  

​

 

  

Noncurrent pension asset

​

$

3,881

​

$

1,356

Accrued pension costs:

​

 

  

​

 

​

Current

​

 

(102)

​

 

(61)

Noncurrent

​

 

(6,392)

​

 

(3,722)

Total

​

 

(2,613)

​

 

(2,427)

​

​

​

​

​

​

​

Accumulated other comprehensive loss -
 actuarial losses, net

​

 

28,209

​

 

28,265

Total

​

$

25,596

​

$

25,838

​

​

​

​

​

​

​

Accumulated benefit obligations (ABO)

​

$

52,873

​

$

50,367

Changes in Other Comprehensive Income (Loss)

​

​

​

​

​

​

​

​

​

​

​

​

    

Years ended December 31, 

​

    

2019

    

2020

    

2021

​

​

(In thousands)

Changes in plan assets and benefit obligations recognized in
  other comprehensive income:

​

​

​

​

​

​

​

​

​

Net actuarial gain (loss) arising during the year

​

$

1,330

​

$

(934)

​

$

1,618

Amortization of unrecognized net actuarial gain (loss)

​

 

1,584

​

 

1,412

​

 

(1,562)

Total

​

$

2,914

​

$

478

​

$

56

Components of Net Periodic Defined Benefit Cost (Income)

​

​

​

​

​

​

​

​

​

​

​

​

​

Years ended December 31, 

​

    

2019

    

2020

    

2021

​

​

(In thousands)

Net periodic pension cost:

 

​

  

 

​

  

 

​

  

Interest cost on PBO

​

$

1,884

​

$

1,483

​

$

947

Expected return on plan assets

​

 

(1,899)

​

 

(1,850)

​

 

(1,603)

Recognized actuarial losses

​

 

1,584

​

 

1,412

​

 

1,562

Total

​

$

1,569

​

$

1,045

​

$

906

Information Concerning Defined Benefit Pension Plans (Including Certain Plans for Which ABO Exceeds Fair Value of Plan Assets)

​

​

​

​

​

​

​

​

​

​

December 31, 

​

    

2020

    

2021

​

​

(In thousands)

PBO at end of the year:

​

​

​

​

​

​

U.S. plan

​

$

43,754

​

$

40,254

U.K. plan

​

 

9,119

​

 

10,113

Total

​

$

52,873

​

$

50,367

Fair value of plan assets at end of the year:

​

​

​

​

​

​

U.S. plan

​

$

37,260

​

$

36,471

U.K. plan

​

 

13,000

​

 

11,469

Total

​

$

50,260

​

$

47,940

​

​

​

​

​

​

​

Plans for which the ABO exceeds plan assets (only our U.S. plan):

​

​

​

​

​

​

PBO

​

$

43,754

​

$

40,254

ABO

​

 

43,754

​

 

40,254

Fair value of plan assets

​

 

37,260

​

 

36,471

Summary of Assumptions Used to Determine Net Benefit Obligation

​

​

​

​

​

​

​

​

​

​

​

Years ended December 31, 

Rate

    

2019

    

2020

    

2021

 

Discount rate

 

3.9

%  

2.9

%  

2.1

%

Long-term rate of return on plan assets

 

4.7

%  

4.2

%  

3.3

%

Schedule of composition of our pension plan assets by fair value level

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

Fair Value Measurements

​

​

​

​

​

Quoted prices 

​

Significant other 

​

Significant 

​

​

​

​

​

​

​

​

in active 

​

observable 

​

unobservable 

​

Assets measured 

​

    

Total

    

markets (Level 1)

    

inputs (Level 2)

    

inputs (Level 3)

    

at NAV

​

​

(In thousands)

December 31, 2020:

 

​

  

 

​

  

 

​

  

 

​

  

 

​

  

U.S.

 

​

  

 

​

  

 

​

  

 

​

  

 

​

  

Equities

​

$

14,636

​

$

2,158

​

$

—

​

$

538

​

$

11,940

Fixed income

​

 

18,747

​

 

18,747

​

 

—

​

 

—

​

 

—

Cash and other

​

 

3,877

​

 

3,052

​

 

—

​

 

—

​

 

825

U.K. - Other

​

 

13,000

​

 

13,000

​

 

—

​

 

—

​

 

—

Total

​

$

50,260

​

$

36,957

​

$

—

​

$

538

​

$

12,765

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

Fair Value Measurements

​

​

​

​

​

Quoted prices 

​

Significant other 

​

Significant 

​

​

​

​

​

​

​

​

in active 

​

observable 

​

unobservable 

​

Assets measured 

​

    

Total

    

markets (Level 1)

    

inputs (Level 2)

    

inputs (Level 3)

    

at NAV

​

​

(In thousands)

December 31, 2021:

​

​

  

​

​

  

​

​

  

​

​

  

​

​

  

U.S.

​

​

  

​

​

  

​

​

  

​

​

  

​

​

  

Equities

​

$

12,951

​

$

831

​

$

—

​

$

108

​

$

12,012

Fixed income

​

​

21,299

​

​

—

​

​

—

​

​

—

​

​

21,299

Cash and other

​

​

2,221

​

​

1,352

​

​

—

​

​

—

​

​

869

U.K. - Other

​

​

11,469

​

​

1,324

​

​

—

​

​

10,145

​

​

—

Total

​

$

47,940

​

$

3,507

​

$

—

​

$

10,253

​

$

34,180