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Pensions and Other Postretirement Benefits (Tables)
 12 Months Ended
Dec. 31, 2020
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,
  
   
2020
    
2019
  
 
            
Included in "Other assets":
            
Non-U.S. pension plans
  
$
312
    
$
303
  
Total included in other assets
  
$
312
    
$
303
  
Included in "Payroll and related expenses":
                
U.S. pension plans
  
$
(35
)
  
$
(35
)
Non-U.S. pension plans
    
(8,314
)
    
(7,362
)
U.S. other postretirement plans
    
(929
)
    
(872
)
Non-U.S. other postretirement plans
    
(475
)
    
(616
)
Total included in payroll and related expenses
  
$
(9,753
)
  
$
(8,885
)
Accrued pension and other postretirement costs:
                
U.S. pension plans
  
$
(45,529
)
  
$
(42,348
)
Non-U.S. pension plans
    
(225,473
)
    
(202,873
)
U.S. other postretirement plans
    
(6,794
)
    
(6,817
)
Non-U.S. other postretirement plans
    
(8,035
)
    
(7,493
)
Other retirement obligations
    
(14,282
)
    
(12,871
)
Total accrued pension and other postretirement costs
  
$
(300,113
)
  
$
(272,402
)
Accumulated other comprehensive loss:
                
U.S. pension plans
  
$
10,709
    
$
8,839
  
Non-U.S. pension plans
    
94,480
      
84,926
  
U.S. other postretirement plans
    
344
      
(180
)
Non-U.S. other postretirement plans
    
2,119
      
2,179
  
Total accumulated other comprehensive loss*
  
$
107,652
    
$
95,764
  

* - 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, 2020
    
December 31, 2019
  
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Change in benefit obligation:
                        
Benefit obligation at beginning of year
  
$
42,383
    
$
283,561
    
$
38,169
    
$
275,207
  
Service cost
    
-
      
4,382
      
-
      
3,382
  
Interest cost
    
1,366
      
3,783
      
1,696
      
5,116
  
Plan amendments
    
-
      
1,015
      
-
      
-
  
Actuarial (gains) losses
    
3,623
      
10,920
      
4,309
      
20,115
  
Benefits paid
    
(1,808
)
    
(17,737
)
    
(1,791
)
    
(18,985
)
Curtailments and settlements
    
-
      
(464
)
    
-
      
-
  
Currency translation
    
-
      
22,349
      
-
      
(1,274
)
Benefit obligation at end of year
  
$
45,564
    
$
307,809
    
$
42,383
    
$
283,561
  
                                 
Change in plan assets:
                                
Fair value of plan assets at beginning of year
  
$
-
    
$
73,629
    
$
-
      
70,820
  
Actual return on plan assets
    
-
      
2,811
      
-
      
4,614
  
Company contributions
    
1,808
      
12,149
      
1,791
      
15,443
  
Benefits paid
    
(1,808
)
    
(17,737
)
    
(1,791
)
    
(18,985
)
Currency translation
    
-
      
3,482
      
-
      
1,737
  
Fair value of plan assets at end of year
  
$
-
    
$
74,334
    
$
-
    
$
73,629
  
                                 
Funded status at end of year
  
$
(45,564
)
  
$
(233,475
)
  
$
(42,383
)
  
$
(209,932
)
Amounts recognized in consolidated balance sheet
Amounts recognized in the accompanying consolidated balance sheets consist of the following:

   
December 31, 2020
    
December 31, 2019
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Other assets
  
$
-
    
$
312
    
$
-
    
$
303
  
Accrued benefit liability - current
    
(35
)
    
(8,314
)
    
(35
)
    
(7,362
)
Accrued benefit liability - non-current
    
(45,529
)
    
(225,473
)
    
(42,348
)
    
(202,873
)
Accumulated other comprehensive loss
    
10,709
      
94,480
      
8,839
      
84,926
  
 
  
$
(34,855
)
  
$
(138,995
)
  
$
(33,544
)
  
$
(125,006
)
Components of actuarial items
Actuarial items consist of the following:

   
December 31, 2020
    
December 31, 2019
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Unrecognized net actuarial loss
  
$
10,212
    
$
94,072
    
$
8,199
    
$
84,523
  
Unamortized prior service cost
    
497
      
408
      
640
      
403
  
 
  
$
10,709
    
$
94,480
    
$
8,839
    
$
84,926
  
Projected and accumulated benefit obligations
The following table sets forth additional information regarding the projected and accumulated benefit obligations:

   
December 31, 2020
    
December 31, 2019
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Accumulated benefit obligation, all plans
  
$
45,564
    
$
287,169
    
$
42,383
    
$
264,723
  
                                 
Plans for which the accumulated benefit obligation exceeds plan assets:
                                
Projected benefit obligation
  
$
45,564
    
$
288,212
    
$
42,383
    
$
252,469
  
Accumulated benefit obligation
    
45,564
      
275,816
      
42,383
      
239,341
  
Fair value of plan assets
    
-
      
59,070
      
-
      
44,670
  
Components of the net periodic benefit costs
The following table sets forth the components of net periodic pension cost:

   
Years ended December 31,
  
 
  
2020
    
2019
    
2018
  
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                                     
Service cost
  
$
-
    
$
4,382
    
$
-
    
$
3,382
    
$
-
    
$
3,822
  
Interest cost
    
1,366
      
3,783
      
1,696
      
5,116
      
1,484
      
4,793
  
Expected return on plan assets
    
-
      
(2,004
)
    
-
      
(1,956
)
    
-
      
(1,889
)
Amortization of actuarial losses
    
1,609
      
6,554
      
827
      
5,374
      
656
      
6,196
  
Amortization of prior service cost
    
144
      
378
      
144
      
197
      
144
      
318
  
Curtailment and settlement losses
    
-
      
1,148
      
-
      
2,183
      
-
      
1,111
  
Net periodic pension cost
  
$
3,119
    
$
14,241
    
$
2,667
    
$
14,296
    
$
2,284
    
$
14,351
  
Weighted average assumptions used
The following weighted average assumptions were used to determine benefit obligations at December 31 of the respective years:

  
2020
    
2019
  
   
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
%

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

  
Years ended December 31,
  
 
  
2020
    
2019
  
 
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
Discount rate
    
3.25
%
    
1.40
%
    
4.50
%
    
1.96
%
Rate of compensation increase
    
0.00
%
    
2.24
%
    
0.00
%
    
2.17
%
Expected return on plan assets
    
0.00
%
    
2.35
%
    
0.00
%
    
2.77
%
Estimated future benefit payments
Estimated future benefit payments are as follows:

   
U.S.
Plans
    
Non-U.S.
Plans
  
             
2021
  
$
1,904
    
$
16,593
  
2022
    
1,901
      
19,235
  
2023
    
8,502
      
17,033
  
2024
    
3,260
      
16,808
  
2025
    
9,505
      
17,957
  
2026-2030
    
11,379
      
84,994
  
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, 2020
    
December 31, 2019
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Change in benefit obligation:
                        
Benefit obligation at beginning of year
  
$
7,689
    
$
8,109
    
$
6,994
    
$
7,953
  
Service cost
    
112
      
284
      
157
      
284
  
Interest cost
    
236
      
64
      
286
      
123
  
Actuarial (gains) losses
    
550
      
35
      
939
      
311
  
Benefits paid
    
(864
)
    
(706
)
    
(687
)
    
(413
)
Currency translation
    
-
      
724
      
-
      
(149
)
Benefit obligation at end of year
  
$
7,723
    
$
8,510
    
$
7,689
    
$
8,109
  
                                 
Fair value of plan assets at end of year
  
$
-
    
$
-
    
$
-
    
$
-
  
                                 
Funded status at end of year
  
$
(7,723
)
  
$
(8,510
)
  
$
(7,689
)
  
$
(8,109
)
Amounts recognized in consolidated balance sheet
Amounts recognized in the accompanying consolidated balance sheets consist of the following:

   
December 31, 2020
    
December 31, 2019
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Accrued benefit liability - current
  
$
(929
)
  
$
(475
)
  
$
(872
)
  
$
(616
)
Accrued benefit liability - non-current
    
(6,794
)
    
(8,035
)
    
(6,817
)
    
(7,493
)
Accumulated other comprehensive income
    
344
      
2,119
      
(180
)
    
2,179
  
 
  
$
(7,379
)
  
$
(6,391
)
  
$
(7,869
)
  
$
(5,930
)
Components of actuarial items
Actuarial items consist of the following:

 
December 31, 2020
  
December 31, 2019
  
 
U.S.
Plans
  
Non-U.S.
Plans
  
U.S.
Plans
  
Non-U.S.
Plans
  
                         
Unrecognized net actuarial loss (gain)
  
$
344
    
$
2,119
    
$
(180
)
  
$
2,179
  
 
  
$
344
    
$
2,119
    
$
(180
)
  
$
2,179
  
Components of the net periodic benefit costs
The following table sets forth the components of net periodic benefit cost:

   
Years ended December 31,
  
 
  
2020
    
2019
    
2018
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                                     
Service cost
  
$
112
    
$
284
    
$
157
    
$
284
    
$
137
    
$
288
  
Interest cost
    
236
      
64
      
286
      
123
      
273
      
114
  
Amortization of actuarial (gains) losses
    
26
      
132
      
(138
)
    
107
      
(39
)
    
105
  
Amortization of prior service credit
    
-
      
-
      
-
      
-
      
(148
)
    
-
  
Curtailment and settlement losses
    
-
      
177
      
-
      
-
      
-
      
-
  
Net periodic benefit cost (benefit)
  
$
374
    
$
657
    
$
305
    
$
514
    
$
223
    
$
507
  
Weighted average assumptions used
The following weighted average assumptions were used to determine benefit obligations at December 31 of the respective years:

  
2020
    
2019
  
 
 
  
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
%

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

 
  
Years ended December 31,
  
 
  
2020
    
2019
  
 
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Discount rate
    
3.25
%
    
0.81
%
    
4.50
%
    
1.60
%
Rate of compensation increase
    
0.00
%
    
2.87
%
    
0.00
%
    
3.18
%
Estimated future benefit payments
Estimated future benefit payments are as follows:

   
U.S.
Plans
    
Non-U.S.
Plans
  
             
2021
  
$
929
    
$
475
  
2022
    
855
      
547
  
2023
    
783
      
275
  
2024
    
703
      
257
  
2025
    
626
      
558
  
2026-2030
    
2,216
      
3,243