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Defined contribution and defined benefit retirement plans - Summary of Actuarial Assumptions Used to Determine Net Periodic Benefit Cost (Credit) (Details) - Pension plans defined benefit | 12 Months Ended
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Dec. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
United States |  |  |
Pension Plans Postretirement And Other Employee Benefits [Line Items] |  |  |
Discount rate | 5.00% | 5.30% | 2.60%
Long-term return on plan assets | 5.00% | 5.00% | 4.00%
Non U.S. |  |  |
Pension Plans Postretirement And Other Employee Benefits [Line Items] |  |  |
Discount rate | 3.40% | 3.90% | 1.50%
Increase in future compensation levels | 2.70% | 2.70% | 2.60%
Long-term return on plan assets | 4.90% | 4.60% | 2.50%

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- Definition Weighted average rate for present value of future retirement benefits cash flows, used to determine net periodic benefit cost of defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (k)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480506/715-20-50-1 + Details
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- Definition Weighted average rate of return on plan assets, reflecting average rate of earnings expected on existing plan assets and expected contributions, used to determine net periodic benefit cost of defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 8 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480506/715-20-50-8 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (k)(3) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480506/715-20-50-1 + Details
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- Definition Weighted average rate of compensation increase used to determine net periodic benefit cost of defined benefit plan. Plan includes, but is not limited to, pay-related defined benefit plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (k)(2) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480506/715-20-50-1 + Details
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- Definition Pension plans postretirement and other employee benefits. + References No definition available. + Details
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