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Defined Benefit Pension Plans
12 Months Ended
Dec. 31, 2022
Retirement Benefits [Abstract]  
Defined Benefit Pension Plans Defined Benefit Pension PlansWe sponsor both funded and unfunded defined benefit pension plans offering death and disability, retirement, and special termination benefits for certain of our international employees, primarily in Germany, France, Indonesia, India, and Italy. The defined benefit obligation is calculated annually by using the projected unit credit method. The measurement date for the pension plans was December 31, 2022.
The following tables set forth the components of the changes in benefit obligations and fair value of plan assets:
 Year Ended December 31,
In thousands20222021
Change in benefit obligation:
Benefit obligation at January 1,$112,073 $132,732 
Service cost2,908 4,479 
Interest cost1,676 1,383 
Actuarial gain(23,682)(13,986)
Benefits paid(2,753)(3,381)
Foreign currency exchange rate changes(7,162)(8,505)
Curtailment(225)(579)
Settlement(1,499)(171)
Release for divestiture(11,081)— 
Other(516)101 
Benefit obligation at December 31,$69,739 $112,073 
Change in plan assets:
Fair value of plan assets at January 1,$9,609 $10,206 
Actual return on plan assets(4)308 
Company contributions217 102 
Benefits paid(278)(329)
Foreign currency exchange rate changes(655)(678)
Settlement(227)— 
Fair value of plan assets at December 31,8,662 9,609 
Net pension benefit obligation at fair value$61,077 $102,464 

Amounts recognized on the Consolidated Balance Sheets consist of:
December 31,
In thousands20222021
Assets
Plan assets in other long-term assets$162 $— 
Liabilities
Current portion of pension benefit obligation in wages and benefits payable$3,400 $3,088 
Pension benefit obligation held for sale within other current liabilities— 11,513 
Long-term portion of pension benefit obligation57,839 87,863 
Pension benefit obligation, net$61,077 $102,464 

In conjunction with the business divestiture to Dresser (refer to Note 3: Certain Balance Sheet Components), the related disposal group was classified as held for sale during the fourth quarter of 2021. The disposal group was removed from the balance sheet when the transaction closed on February 28, 2022. Refer to Note 18: Sale of Businesses for additional information on the transaction.
Amounts recognized in OCI (pre-tax) are as follows:
Year Ended December 31,
In thousands202220212020
Net actuarial (gain) loss$(24,316)$(14,565)$8,734 
Settlement(166)(286)
Curtailment20 557 — 
Plan asset loss316 38 64 
Amortization of net actuarial loss(1,490)(2,183)(2,255)
Amortization of prior service cost(70)(71)(68)
Other481 101 — 
Other comprehensive (income) loss$(25,225)$(16,121)$6,189 

If actuarial gains and losses exceed 10 percent of the greater of plan assets or plan liabilities, we amortize them over the employees' average future service period. The estimated net actuarial gain and prior service cost that will be amortized from AOCI into net periodic benefit cost during 2023 is $0.4 million.

Net periodic pension benefit cost for our plans include the following components:
Year Ended December 31,
In thousands202220212020
Service cost$2,908 $4,479 $4,027 
Interest cost1,676 1,383 1,817 
Expected return on plan assets(312)(346)(453)
Amortization of prior service costs70 71 68 
Amortization of actuarial net loss1,490 2,183 2,255 
Settlement166 (2)286 
Curtailment(20)(557)— 
Net periodic benefit cost$5,978 $7,211 $8,000 

The components of net periodic benefit cost, other than the service cost component, are included in total other income (expense) on the Consolidated Statements of Operations.

The significant actuarial weighted average assumptions used in determining the benefit obligations and net periodic benefit cost for our benefit plans are as follows:
 Year Ended December 31,
 202220212020
Actuarial assumptions used to determine benefit obligations at end of period:
Discount rate4.14 %1.66 %1.10 %
Expected annual rate of compensation increase4.26 %3.88 %3.68 %
Actuarial assumptions used to determine net periodic benefit cost for the period:
Discount rate1.93 %1.10 %1.76 %
Expected rate of return on plan assets3.45 %3.45 %4.89 %
Expected annual rate of compensation increase3.88 %3.68 %3.76 %

We determine a discount rate for our plans based on the estimated duration of each plan's liabilities. For euro denominated defined benefit pension plans, which represent 85% of our projected benefit obligation, we use discount rates with consideration of the duration of each of the plans, using a hypothetical yield curve developed from euro-denominated AA-rated corporate bond issues. These bonds are assigned different weights to adjust their relative influence on the yield curve, and the highest and lowest yielding 10% of bonds are excluded within each maturity group. The discount rate used was 3.75%.
Our expected rate of return on plan assets is derived from a study of actual historic returns achieved and anticipated future long-term performance of plan assets, specific to plan investment asset category. While the study primarily gives consideration to recent insurers' performance and historical returns, the assumption represents a long-term prospective return.

The total accumulated benefit obligation for our defined benefit pension plans was $63.2 million and $103.4 million at December 31, 2022 and 2021.

The total obligations and fair value of plan assets for plans with projected benefit obligations and accumulated benefit obligations exceeding the fair value of plan assets are as follows:
In thousandsDecember 31,
20222021
Projected benefit obligation$68,799 $112,073 
Accumulated benefit obligation62,503 103,437 
Fair value of plan assets7,560 9,609 

Our asset investment strategy focuses on maintaining a portfolio using primarily insurance funds, which are accounted for as investments and measured at fair value, in order to achieve our long-term investment objectives on a risk adjusted basis. Our general funding policy for these qualified pension plans is to contribute amounts sufficient to satisfy regulatory funding standards of the respective countries for each plan.

The fair values of our plan investments by asset category are as follows:
Total
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Unobservable Inputs
(Level 3)
In thousandsDecember 31, 2022
Cash$857 $857 $— 
Insurance funds7,805 — 7,805 
Total fair value of plan assets$8,662 $857 $7,805 
In thousandsDecember 31, 2021
Cash$1,075 $1,075 $— 
Insurance funds8,534 — 8,534 
Total fair value of plan assets$9,609 $1,075 $8,534 

The following tables present a reconciliation of Level 3 assets held during the years ended December 31, 2022 and 2021:
In thousandsBalance at January 1, 2022Net Realized and Unrealized GainsNet Purchases, Issuances, Settlements, and OtherEffect of Foreign CurrencyBalance at December 31, 2022
Insurance funds$8,534 $(14)$(165)$(550)$7,805 
In thousandsBalance at January 1, 2021Net Realized and Unrealized GainsNet Purchases, Issuances, Settlements, and OtherEffect of Foreign CurrencyBalance at December 31, 2021
Insurance funds$9,156 $289 $(242)$(669)$8,534 

As the plan assets and contributions are not significant to our total company assets, no further disclosures are considered material.
Annual benefit payments for the next 10 years, including amounts to be paid from our assets for unfunded plans and reflecting expected future service, as appropriate, are expected to be paid as follows:
Year Ending December 31,Estimated Annual Benefit Payments
In thousands
2023$3,805 
20243,989 
20254,170 
20264,167 
20274,731 
2028-203225,359