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Retirement Benefit Plans (Tables)
 12 Months Ended
Dec. 31, 2019
Retirement Benefits [Abstract]  
Assumptions used in accounting for the defined benefit plan
The assumptions used in accounting for the defined benefit plans were as follows for the years ended December 31:
 
2019
 
2018
 
2017
U.S. Plan
 
 
 
 
 
Discount rate for pension benefit obligation
2.88
%
 
4.00
%
 
3.30
%
Discount rate for net periodic benefit income
4.00
%
 
3.30
%
 
3.60
%
Expected long-term rate of return on assets for net periodic pension income
7.50
%
 
7.50
%
 
7.50
%
Non-U.S. Plan
 
 
 
 
 
Discount rate for pension benefit obligation
2.96
%
 
3.50
%
 
3.25
%
Discount rate for net periodic benefit (income) loss
3.50
%
 
3.50
%
 
3.75
%
Expected long-term rate of return on assets for net periodic pension (income) loss
5.50
%
 
5.50
%
 
5.50
%
Net periodic benefit income and expense for the defined benefit plan
Set forth below is a detail of the net periodic pension income for the defined benefit plans for the years ended December 31:
 
2019
 
2018
 
2017
U.S. Plan
 
 
 
 
 
Interest cost
$
727

 
$
681

 
$
811

Expected return on plan assets
(1,987
)
 
(2,047
)
 
(2,074
)
Amortization of actuarial loss
561

 
623

 
501

Net periodic pension income
$
(699
)
 
$
(743
)
 
$
(762
)
 
 
 
 
 
 
Non-U.S. Plan
 
 
 
 
 
Interest cost
$
144

 
$
142

 
$
153

Expected return on plan assets
(263
)
 
(286
)
 
(264
)
Amortization of actuarial loss
72

 
200

 
10

Net periodic pension (income) loss
$
(47
)
 
$
56

 
$
(101
)
Changes in plan assets and benefit obligations recognized in comprehensive income (loss)
Set forth below is the detail of other changes in plan assets and benefit obligations recognized in other comprehensive loss (income) for the years ended December 31:
 
2019
 
2018
 
2017
U.S. Plan
 
 
 
 
 
Current year actuarial loss (gain)
$
(1,727
)
 
$
2,347

 
$
(2,506
)
Amortization of actuarial loss
(561
)
 
(623
)
 
(501
)
Total recognized in other comprehensive loss (income)
$
(2,288
)
 
$
1,724

 
$
(3,007
)
Non-U.S. Plan
 
 
 
 
 
Current year actuarial loss
$
(155
)
 
$
236

 
$
60

Amortization of actuarial loss
(72
)
 
(200
)
 
(10
)
Total recognized in other comprehensive loss
$
(227
)
 
$
36

 
$
50
Changes in benefit obligations during the year and funded status of defined benefit plan
The following table sets forth the changes in the benefit obligation and the plan assets during the year and the funded status of the defined benefit plans at December 31:
 
2019
 
2018
 
U.S.
Plan
 
Non-U.S.
Plan
 
U.S. Plan
 
Non-U.S.
Plan
Change in benefit obligation
 
 
 
 
 
 
 
Projected benefit obligation at beginning of year
$
19,131

 
$
4,084

 
$
21,716

 
$
4,604

Interest cost
727

 
144

 
681

 
142

Actuarial (gain) loss
1,266

 
311

 
(1,278
)
 
(148
)
Benefits paid
(1,750
)
 
(182
)
 
(1,988
)
 
(151
)
Foreign currency exchange rate changes
—

 
213

 
—

 
(363
)
Projected benefit obligation at end of year
$
19,374

 
$
4,570

 
$
19,131

 
$
4,084

Accumulated benefit obligation at end of year
$
19,374

 
$
4,570

 
$
19,131

 
$
4,084

Change in plan assets
 
 
 
 
 
 
 
Fair value of plan assets at beginning of year
$
25,671

 
$
4,744

 
$
29,237

 
$
5,456

Actual return on plan assets
4,979

 
726

 
(1,578
)
 
(111
)
Benefits paid
(1,750
)
 
(182
)
 
(1,988
)
 
(151
)
Foreign currency exchange rate changes
—

 
62

 
—

 
(450
)
Fair value of plan assets at end of year
$
28,900

 
$
5,350

 
$
25,671

 
$
4,744

Funded status at end of year
$
9,526

 
$
780

 
$
6,540

 
$
660

Amounts recognized in the balance sheets consist of:
 
 
 
 
 
 
 
Non-current assets
$
9,526

 
$
780

 
$
6,540

 
$
660

Components of accumulated other comprehensive loss consist of:
 
 
 
 
 
 
 
Actuarial loss
$
(9,140
)
 
$
(1,058
)
 
$
(11,427
)
 
$
(1,225
)
Deferred taxes and other
2,280

 
348

 
2,933

 
485

 
$
(6,860
)
 
$
(710
)
 
$
(8,494
)
 
$
(740
)
Future benefit payments
Future pension benefit payments expected to be paid from assets of the pension plans are:
 
U.S. Plan
 
Non-U.S. Plan
2020
$
2,200

 
$
184

2021
1,870

 
215

2022
1,880

 
246

2023
1,698

 
243

2024
1,591

 
249

2025 - 2029
6,148

 
1,322

 
$
15,387

 
$
2,459
Actual allocation percentage and target allocation percentage for pension plan assets
The following is the actual allocation percentage and target allocation percentage for the U.S. pension plan assets at December 31:
 
2019
Actual
Allocation
 
2018
Actual
Allocation
 
Target Allocation
Range
U.S. equity securities
45.9
%
 
43.8
%
 
36.0% - 54.0%
Non-U.S. equity securities
20.4
%
 
19.3
%
 
16.0% - 24.0%
Fixed income securities
33.2
%
 
36.4
%
 
30.0% - 40.0%
Money market
0.5
%
 
0.5
%
 
0.0% - 10.0%
The following is the actual allocation percentage and target allocation percentage for the Non-U.S. pension plan assets at December 31:
 
2019
Actual
Allocation
 
2018
Actual
Allocation
 
Target Allocation
Range
Canadian equity securities
30.2
%
 
29.5
%
 
25.0% - 35.0%
Non-Canadian equity securities
32.3
%
 
29.9
%
 
25.0% - 35.0%
Fixed income securities
37.5
%
 
40.6
%
 
30.0% - 50.0%
Cash and cash equivalents
—
%
 
—
%
 
0.0% - 5.0%
Fair value of pension plan assets
Following are the values as of December 31:
 
U.S. Plan
 
Non-U.S. Plan
 
2019
 
2018
 
2019
 
2018
U.S. equity securities
$
13,255

 
$
11,251

 
$
929

 
$
735

Non-U.S. equity securities
5,904

 
4,930

 
2,412

 
2,081

Fixed income securities
9,596

 
9,350

 
2,009

 
1,928

Money market
145

 
140

 
—

 
—

Total
$
28,900

 
$
25,671

 
$
5,350

 
$
4,744