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Pensions and Other Postretirement Benefits (Tables)
 12 Months Ended
Dec. 31, 2021
Defined Benefit Plan Disclosure [Line Items]  
Retirement Plan amounts recorded on consolidated balance sheets
The following table summarizes amounts recorded on the accompanying consolidated balance sheets associated with these various retirement benefit plans:

   
December 31,
  
   
2021
    
2020
  
 
            
Included in "Other assets":
            
Non-U.S. pension plans
  
$
3,145
    
$
312
  
Total included in other assets
  
$
3,145
    
$
312
  
Included in "Payroll and related expenses":
                
U.S. pension plans
  
$
(35
)
  
$
(35
)
Non-U.S. pension plans
    
(7,602
)
    
(8,314
)
U.S. other postretirement plans
    
(975
)
    
(929
)
Non-U.S. other postretirement plans
    
(696
)
    
(475
)
Total included in payroll and related expenses
  
$
(9,308
)
  
$
(9,753
)
Accrued pension and other postretirement costs:
                
U.S. pension plans
  
$
(45,578
)
  
$
(45,529
)
Non-U.S. pension plans
    
(197,796
)
    
(225,473
)
U.S. other postretirement plans
    
(6,636
)
    
(6,794
)
Non-U.S. other postretirement plans
    
(7,086
)
    
(8,035
)
Other retirement obligations
    
(14,576
)
    
(14,282
)
Total accrued pension and other postretirement costs
  
$
(271,672
)
  
$
(300,113
)
Accumulated other comprehensive loss:
                
U.S. pension plans
  
$
9,403
    
$
10,709
  
Non-U.S. pension plans
    
72,437
      
94,480
  
U.S. other postretirement plans
    
837
      
344
  
Non-U.S. other postretirement plans
    
1,706
      
2,119
  
Total accumulated other comprehensive loss*
  
$
84,383
    
$
107,652
  
* - Amounts included in accumulated other comprehensive loss are presented in this table pre-tax.
Defined Benefit Pension Plans [Member]  
Defined Benefit Plan Disclosure [Line Items]  
Reconciliation of benefit obligation, plan assets, and funded status
The following table sets forth a reconciliation of the benefit obligation, plan assets, and funded status related to U.S. and non-U.S. pension plans:

   
December 31, 2021
    
December 31, 2020
  
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Change in benefit obligation:
                        
Benefit obligation at beginning of year
  
$
45,564
    
$
307,809
    
$
42,383
    
$
283,561
  
Service cost
    
-
      
4,693
      
-
      
4,382
  
Interest cost
    
1,016
      
2,968
      
1,366
      
3,783
  
Plan amendments
    
-
      
490
      
-
      
1,015
  
Actuarial (gains) losses
    
870
      
(7,816
)
    
3,623
      
10,920
  
Benefits paid
    
(1,837
)
    
(14,773
)
    
(1,808
)
    
(17,737
)
Curtailments and settlements
    
-
      
(34
)
    
-
      
(464
)
Currency translation
    
-
      
(15,164
)
    
-
      
22,349
  
Benefit obligation at end of year
  
$
45,613
    
$
278,173
    
$
45,564
    
$
307,809
  
                                 
Change in plan assets:
                                
Fair value of plan assets at beginning of year
  
$
-
    
$
74,334
    
$
-
      
73,629
  
Actual return on plan assets
    
-
      
2,792
      
-
      
2,811
  
Company contributions
    
1,837
      
13,095
      
1,808
      
12,149
  
Benefits paid
    
(1,837
)
    
(14,773
)
    
(1,808
)
    
(17,737
)
Currency translation
    
-
      
472
      
-
      
3,482
  
Fair value of plan assets at end of year
  
$
-
    
$
75,920
    
$
-
    
$
74,334
  
                                 
Funded status at end of year
  
$
(45,613
)
  
$
(202,253
)
  
$
(45,564
)
  
$
(233,475
)
Amounts recognized in consolidated balance sheet
Amounts recognized in the accompanying consolidated balance sheets consist of the following:

   
December 31, 2021
    
December 31, 2020
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Other assets
  
$
-
    
$
3,145
    
$
-
    
$
312
  
Accrued benefit liability - current
    
(35
)
    
(7,602
)
    
(35
)
    
(8,314
)
Accrued benefit liability - non-current
    
(45,578
)
    
(197,796
)
    
(45,529
)
    
(225,473
)
Accumulated other comprehensive loss
    
9,403
      
72,437
      
10,709
      
94,480
  
 
  
$
(36,210
)
  
$
(129,816
)
  
$
(34,855
)
  
$
(138,995
)
Components of actuarial items
Actuarial items consist of the following:

   
December 31, 2021
    
December 31, 2020
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Unrecognized net actuarial loss
  
$
9,050
    
$
71,632
    
$
10,212
    
$
94,072
  
Unamortized prior service cost
    
353
      
805
      
497
      
408
  
 
  
$
9,403
    
$
72,437
    
$
10,709
    
$
94,480
  
Projected and accumulated benefit obligations
The following table sets forth additional information regarding the projected and accumulated benefit obligations:

   
December 31, 2021
    
December 31, 2020
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Accumulated benefit obligation, all plans
  
$
45,613
    
$
259,087
    
$
45,564
    
$
287,169
  
                                 
Plans for which the accumulated benefit obligation exceeds plan assets:
                                
Projected benefit obligation
  
$
45,613
    
$
247,796
    
$
45,564
    
$
288,212
  
Accumulated benefit obligation
    
45,613
      
235,764
      
45,564
      
275,816
  
Fair value of plan assets
    
-
      
44,604
      
-
      
59,070
  
Components of the net periodic benefit costs
The following table sets forth the components of net periodic pension cost:

   
Years ended December 31,
  
 
  
2021
    
2020
    
2019
  
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                                     
Service cost
  
$
-
    
$
4,693
    
$
-
    
$
4,382
    
$
-
    
$
3,382
  
Interest cost
    
1,016
      
2,968
      
1,366
      
3,783
      
1,696
      
5,116
  
Expected return on plan assets
    
-
      
(1,660
)
    
-
      
(2,004
)
    
-
      
(1,956
)
Amortization of actuarial losses
    
2,032
      
7,444
      
1,609
      
6,554
      
827
      
5,374
  
Amortization of prior service cost
    
144
      
189
      
144
      
378
      
144
      
197
  
Curtailment and settlement losses
    
-
      
632
      
-
      
1,148
      
-
      
2,183
  
Net periodic pension cost
  
$
3,192
    
$
14,266
    
$
3,119
    
$
14,241
    
$
2,667
    
$
14,296
  
Weighted average assumptions used
The following weighted average assumptions were used to determine benefit obligations at December 31 of the respective years:

  
2021
    
2020
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
Discount rate
    
2.50
%
    
1.19
%
    
2.25
%
    
1.02
%
Rate of compensation increase
    
0.00
%
    
2.07
%
    
0.00
%
    
2.02
%

The following weighted average assumptions were used to determine the net periodic pension costs:

  
Years ended December 31,
  
 
  
2021
    
2020
  
 
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
Discount rate
    
2.25
%
    
1.02
%
    
3.25
%
    
1.40
%
Rate of compensation increase
    
0.00
%
    
2.02
%
    
0.00
%
    
2.24
%
Expected return on plan assets
    
0.00
%
    
2.37
%
    
0.00
%
    
2.35
%
Estimated future benefit payments
Estimated future benefit payments are as follows:

   
U.S.
Plans
    
Non-U.S.
Plans
  
             
2022
  
$
1,940
    
$
18,924
  
2023
    
8,859
      
16,333
  
2024
    
3,376
      
16,061
  
2025
    
10,029
      
17,124
  
2026
    
3,247
      
19,069
  
2027-2031
    
9,993
      
78,158
  
Other Postretirement Benefits [Member]  
Defined Benefit Plan Disclosure [Line Items]  
Reconciliation of benefit obligation, plan assets, and funded status
The following table sets forth a reconciliation of the benefit obligation, plan assets, and accrued benefit cost related to U.S. and non-U.S. non-pension defined benefit postretirement plans:

   
December 31, 2021
    
December 31, 2020
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Change in benefit obligation:
                        
Benefit obligation at beginning of year
  
$
7,723
    
$
8,510
    
$
7,689
    
$
8,109
  
Service cost
    
102
      
278
      
112
      
284
  
Interest cost
    
163
      
42
      
236
      
64
  
Actuarial (gains) losses
    
545
      
(77
)
    
550
      
35
  
Benefits paid
    
(922
)
    
(319
)
    
(864
)
    
(706
)
Currency translation
    
-
      
(652
)
    
-
      
724
  
Benefit obligation at end of year
  
$
7,611
    
$
7,782
    
$
7,723
    
$
8,510
  
                                 
Fair value of plan assets at end of year
  
$
-
    
$
-
    
$
-
    
$
-
  
                                 
Funded status at end of year
  
$
(7,611
)
  
$
(7,782
)
  
$
(7,723
)
  
$
(8,510
)
Amounts recognized in consolidated balance sheet
Amounts recognized in the accompanying consolidated balance sheets consist of the following:

   
December 31, 2021
    
December 31, 2020
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Accrued benefit liability - current
  
$
(975
)
  
$
(696
)
  
$
(929
)
  
$
(475
)
Accrued benefit liability - non-current
    
(6,636
)
    
(7,086
)
    
(6,794
)
    
(8,035
)
Accumulated other comprehensive income
    
837
      
1,706
      
344
      
2,119
  
 
  
$
(6,774
)
  
$
(6,076
)
  
$
(7,379
)
  
$
(6,391
)
Components of actuarial items
Actuarial items consist of the following:

 
December 31, 2021
  
December 31, 2020
  
 
U.S.
Plans
  
Non-U.S.
Plans
  
U.S.
Plans
  
Non-U.S.
Plans
  
                         
Unrecognized net actuarial loss (gain)
  
$
837
    
$
1,706
    
$
344
    
$
2,119
  
 
  
$
837
    
$
1,706
    
$
344
    
$
2,119
  
Components of the net periodic benefit costs
The following table sets forth the components of net periodic benefit cost:

   
Years ended December 31,
  
 
  
2021
    
2020
    
2019
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                                     
Service cost
  
$
102
    
$
278
    
$
112
    
$
284
    
$
157
    
$
284
  
Interest cost
    
163
      
42
      
236
      
64
      
286
      
123
  
Amortization of actuarial (gains) losses
    
53
      
116
      
26
      
132
      
(138
)
    
107
  
Curtailment and settlement losses
    
-
      
67
      
-
      
177
      
-
      
-
  
Net periodic benefit cost (benefit)
  
$
318
    
$
503
    
$
374
    
$
657
    
$
305
    
$
514
  
Weighted average assumptions used
The following weighted average assumptions were used to determine benefit obligations at December 31 of the respective years:

  
2021
    
2020
  
 
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Discount rate
    
2.50
%
    
0.80
%
    
2.25
%
    
0.54
%
Rate of compensation increase
    
0.00
%
    
2.88
%
    
0.00
%
    
2.87
%

The following weighted average assumptions were used to determine the net periodic benefit costs:

 
  
Years ended December 31,
  
 
  
2021
    
2020
  
 
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Discount rate
    
2.25
%
    
0.54
%
    
3.25
%
    
0.81
%
Rate of compensation increase
    
0.00
%
    
2.87
%
    
0.00
%
    
2.87
%
Estimated future benefit payments
Estimated future benefit payments are as follows:

   
U.S.
Plans
    
Non-U.S.
Plans
  
             
2022
  
$
975
    
$
696
  
2023
    
871
      
255
  
2024
    
802
      
239
  
2025
    
706
      
476
  
2026
    
619
      
169
  
2027-2031
    
2,131
      
3,753