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Pensions and Other Postretirement Benefits (Tables)
 12 Months Ended
Dec. 31, 2022
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,
  
   
2022
    
2021
  
 
            
Included in "Other assets":
            
Non-U.S. pension plans
  
$
4,715
    
$
3,145
  
Total included in other assets
  
$
4,715
    
$
3,145
  
Included in "Payroll and related expenses":
                
U.S. pension plans
  
$
(6,378
)
  
$
(35
)
Non-U.S. pension plans
    
(6,827
)
    
(7,602
)
U.S. other postretirement plans
    
(497
)
    
(975
)
Non-U.S. other postretirement plans
    
(666
)
    
(696
)
Total included in payroll and related expenses
  
$
(14,368
)
  
$
(9,308
)
Accrued pension and other postretirement costs:
                
U.S. pension plans
  
$
(30,843
)
  
$
(45,578
)
Non-U.S. pension plans
    
(135,809
)
    
(197,796
)
U.S. other postretirement plans
    
(3,831
)
    
(6,636
)
Non-U.S. other postretirement plans
    
(6,049
)
    
(7,086
)
Other retirement obligations
    
(10,560
)
    
(14,576
)
Total accrued pension and other postretirement costs
  
$
(187,092
)
  
$
(271,672
)
Accumulated other comprehensive loss:
                
U.S. pension plans
  
$
69
    
$
9,403
  
Non-U.S. pension plans
    
16,392
      
72,437
  
U.S. other postretirement plans
    
(2,031
)
    
837
  
Non-U.S. other postretirement plans
    
743
      
1,706
  
Total accumulated other comprehensive loss*
  
$
15,173
    
$
84,383
  
* - 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, 2022
    
December 31, 2021
  
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Change in benefit obligation:
                        
Benefit obligation at beginning of year
  
$
45,613
    
$
278,173
    
$
45,564
    
$
307,809
  
Service cost
    
-
      
4,199
      
-
      
4,693
  
Interest cost
    
1,122
      
3,200
      
1,016
      
2,968
  
Plan amendments
    
-
      
79
      
-
      
490
  
Actuarial (gains) losses
    
(7,668
)
    
(45,102
)
    
870
      
(7,816
)
Benefits paid
    
(1,846
)
    
(16,777
)
    
(1,837
)
    
(14,773
)
Curtailments and settlements
    
-
      
-
      
-
      
(34
)
Currency translation
    
-
      
(20,231
)
    
-
      
(15,164
)
Benefit obligation at end of year
  
$
37,221
    
$
203,541
    
$
45,613
    
$
278,173
  
                                 
Change in plan assets:
                                
Fair value of plan assets at beginning of year
  
$
-
    
$
75,920
    
$
-
      
74,334
  
Actual return on plan assets
    
-
      
790
      
-
      
2,792
  
Company contributions
    
1,846
      
13,212
      
1,837
      
13,095
  
Benefits paid
    
(1,846
)
    
(16,777
)
    
(1,837
)
    
(14,773
)
Currency translation
    
-
      
(7,525
)
    
-
      
472
  
Fair value of plan assets at end of year
  
$
-
    
$
65,620
    
$
-
    
$
75,920
  
                                 
Funded status at end of year
  
$
(37,221
)
  
$
(137,921
)
  
$
(45,613
)
  
$
(202,253
)
Amounts recognized in consolidated balance sheet
Amounts recognized in the accompanying consolidated balance sheets consist of the following:

   
December 31, 2022
   
December 31, 2021
 
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Other assets
  
$
-
    
$
4,715
    
$
-
    
$
3,145
  
Accrued benefit liability - current
    
(6,378
)
    
(6,827
)
    
(35
)
    
(7,602
)
Accrued benefit liability - non-current
    
(30,843
)
    
(135,809
)
    
(45,578
)
    
(197,796
)
Accumulated other comprehensive loss
    
69
      
16,392
      
9,403
      
72,437
  
 
  
$
(37,152
)
  
$
(121,529
)
  
$
(36,210
)
  
$
(129,816
)
Components of actuarial items
Actuarial items consist of the following:

 
December 31, 2022
  
December 31, 2021
  
 
U.S.
Plans
  
Non-U.S.
Plans
  
U.S.
Plans
  
Non-U.S.
Plans
  
                 
Unrecognized net actuarial (gain) loss
  
$
(140
)
  
$
15,628
    
$
9,050
    
$
71,632
  
Unamortized prior service cost
    
209
      
764
      
353
      
805
  
 
  
$
69
    
$
16,392
    
$
9,403
    
$
72,437
  
Projected and accumulated benefit obligations
The following table sets forth additional information regarding the projected and accumulated benefit obligations:

   
December 31, 2022
   
December 31, 2021
 
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Accumulated benefit obligation, all plans
  
$
37,221
    
$
176,056
    
$
45,613
    
$
259,087
  
                                 
Plans for which the accumulated benefit obligation exceeds plan assets:
                                
Projected benefit obligation
  
$
37,221
    
$
181,207
    
$
45,613
    
$
247,796
  
Accumulated benefit obligation
    
37,221
      
159,433
      
45,613
      
235,764
  
Fair value of plan assets
    
-
      
38,854
      
-
      
44,604
  
Components of the net periodic benefit costs
The following table sets forth the components of net periodic pension cost:

   
Years ended December 31,
  
 
  
2022
    
2021
    
2020
  
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                                     
Service cost
  
$
-
    
$
4,199
    
$
-
    
$
4,693
    
$
-
    
$
4,382
  
Interest cost
    
1,122
      
3,200
      
1,016
      
2,968
      
1,366
      
3,783
  
Expected return on plan assets
    
-
      
(1,725
)
    
-
      
(1,660
)
    
-
      
(2,004
)
Amortization of actuarial losses
    
1,523
      
4,760
      
2,032
      
7,444
      
1,609
      
6,554
  
Amortization of prior service cost
    
144
      
216
      
144
      
189
      
144
      
378
  
Curtailment and settlement losses
    
-
      
1,190
      
-
      
632
      
-
      
1,148
  
Net periodic pension cost
  
$
2,789
    
$
11,840
    
$
3,192
    
$
14,266
    
$
3,119
    
$
14,241
  
Weighted average assumptions used
The following weighted average assumptions were used to determine benefit obligations at December 31 of the respective years:

 
2022
    
2021
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
Discount rate
    
5.50
%
    
3.57
%
    
2.50
%
    
1.19
%
Rate of compensation increase
    
0.00
%
    
2.60
%
    
0.00
%
    
2.07
%

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

 
Years ended December 31,
  
 
  
2022
    
2021
  
 
 
  
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
%
Expected return on plan assets
    
0.00
%
    
2.96
%
    
0.00
%
    
2.37
%
Estimated future benefit payments
Estimated future benefit payments are as follows:

   
U.S.
Plans
    
Non-U.S.
Plans
  
             
2023
  
$
8,365
    
$
15,741
  
2024
    
3,295
      
14,669
  
2025
    
3,247
      
15,553
  
2026
    
8,552
      
17,068
  
2027
    
3,277
      
15,004
  
2028-2032
    
9,742
      
70,832
  
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, 2022
    
December 31, 2021
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Change in benefit obligation:
                        
Benefit obligation at beginning of year
  
$
7,611
    
$
7,782
    
$
7,723
    
$
8,510
  
Service cost
    
39
      
237
      
102
      
278
  
Interest cost
    
178
      
55
      
163
      
42
  
Actuarial (gains) losses
    
(2,525
)
    
(749
)
    
545
      
(77
)
Benefits paid
    
(975
)
    
(147
)
    
(922
)
    
(319
)
Currency translation
    
-
      
(463
)
    
-
      
(652
)
Benefit obligation at end of year
  
$
4,328
    
$
6,715
    
$
7,611
    
$
7,782
  
                                 
Fair value of plan assets at end of year
  
$
-
    
$
-
    
$
-
    
$
-
  
                                 
Funded status at end of year
  
$
(4,328
)
  
$
(6,715
)
  
$
(7,611
)
  
$
(7,782
)
Amounts recognized in consolidated balance sheet
Amounts recognized in the accompanying consolidated balance sheets consist of the following:

 
December 31, 2022
  
December 31, 2021
  
 
U.S.
Plans
  
Non-U.S.
Plans
  
U.S.
Plans
  
Non-U.S.
Plans
  
                 
Accrued benefit liability - current
  
$
(497
)
  
$
(666
)
  
$
(975
)
  
$
(696
)
Accrued benefit liability - non-current
    
(3,831
)
    
(6,049
)
    
(6,636
)
    
(7,086
)
Accumulated other comprehensive (income) loss
    
(2,031
)
    
743
      
837
      
1,706
  
 
  
$
(6,359
)
  
$
(5,972
)
  
$
(6,774
)
  
$
(6,076
)
Components of actuarial items
Actuarial items consist of the following:

 
December 31, 2022
 
December 31, 2021
 
 
U.S.
Plans
  
Non-U.S.
Plans
  
U.S.
Plans
  
Non-U.S.
Plans
  
                         
Unrecognized net actuarial loss (gain)
  
$
(2,031)
    
$
743
    
$
837
    
$
1,706
  
 
  
$
(2,031)
    
$
743
    
$
837
    
$
1,706
  
Components of the net periodic benefit costs
The following table sets forth the components of net periodic benefit cost:

   
Years ended December 31,
  
 
  
2022
    
2021
    
2020
  
   
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                                     
Service cost
  
$
39
    
$
237
    
$
102
    
$
278
    
$
112
    
$
284
  
Interest cost
    
178
      
55
      
163
      
42
      
236
      
64
  
Amortization of actuarial (gains) losses
    
342
      
85
      
53
      
116
      
26
   
132
  
Curtailment and settlement losses
    
-
      
-
      
-
      
67
      
-
      
177
  
Net periodic benefit cost (benefit)
  
$
559
    
$
377
    
$
318
    
$
503
    
$
374
    
$
657
  
Weighted average assumptions used
The following weighted average assumptions were used to determine benefit obligations at December 31 of the respective years:

 
2022
    
2021
  
 
 
  
U.S.
Plans
    
Non-U.S.
Plans
    
U.S.
Plans
    
Non-U.S.
Plans
  
                         
Discount rate
    
5.50
%
    
3.86
%
    
2.50
%
    
0.80
%
Rate of compensation increase
    
0.00
%
    
4.19
%
    
0.00
%
    
2.88
%

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

 
  
Years ended December 31,
  
 
  
2022
    
2021
  
 
 
  
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
%
Estimated future benefit payments
Estimated future benefit payments are as follows:

   
U.S.
Plans
    
Non-U.S.
Plans
  
             
2023
  
$
497
    
$
666
  
2024
    
491
      
246
  
2025
    
475
      
517
  
2026
    
480
      
185
  
2027
    
427
      
1,278
  
2028-2032
    
1,671
      
3,607