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Defined contribution and defined benefit retirement plans - Schedule of Funded Status (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2024 | Dec. 31, 2023 | Dec. 31, 2022
Amounts recognized in the Consolidated Balance Sheets: |  |  |
Noncurrent pension asset | $ 19.8 | $ 8.1 |
Noncurrent accrued pension costs | (117.6) | (151.6) |
Pension plans defined benefit |  |  |
Change in plan assets: |  |  |
Fair value at beginning of year | 462.9 |  |
Fair value at end of year | 480.6 | 462.9 |
Pension plans defined benefit | United States |  |  |
Change in projected benefit obligations ("PBO"): |  |  |
Balance at beginning of the year | 42.7 | 43.4 |
Interest cost | 2.7 | 2.2 | $ 1.4
Actuarial (gains) losses | (3.1) | 1.2 |
Benefits paid | (4.6) | (4.1) |
Acquisition | 27.5 |  |
Balance at end of the year | 65.2 | 42.7 | 43.4
Change in plan assets: |  |  |
Fair value at beginning of year | 40.3 | 39.1 |
Actual return on plan assets | 0.4 | 3.7 |
Employer contributions | 1.5 | 1.6 |
Benefits paid | (4.6) | (4.1) |
Acquisition | 38.1 |  |
Fair value at end of year | 75.7 | 40.3 | 39.1
Funded status | 10.5 | (2.4) |
Amounts recognized in the Consolidated Balance Sheets: |  |  |
Noncurrent pension asset | 10.7 |  |
Current | (0.1) |  |
Noncurrent accrued pension costs | (0.1) | (2.4) |
Total | 10.5 | (2.4) |
Accumulated other comprehensive loss: |  |  |
Actuarial losses | 28.5 | 30.3 |
Total | 39.0 | 27.9 |
Accumulated benefit obligations ("ABO") | $ 65.2 | $ 42.7 |
Defined Benefit Plan, Funding Status [Extensible List] | us-gaap:FundedPlanMember | us-gaap:FundedPlanMember |
Pension plans defined benefit | Non U.S. |  |  |
Change in projected benefit obligations ("PBO"): |  |  |
Balance at beginning of the year | $ 563.7 | $ 508.6 |
Service cost | 6.6 | 6.3 | 11.3
Interest cost | 18.9 | 19.8 | 10.6
Participants' contributions | 1.8 | 1.8 |
Actuarial (gains) losses | (16.2) | 44.3 |
Settlements | (1.9) | (8.6) |
Change in currency exchange rates | (36.8) | 14.1 |
Benefits paid | (22.8) | (22.6) |
Balance at end of the year | 513.3 | 563.7 | 508.6
Change in plan assets: |  |  |
Fair value at beginning of year | 422.6 | 390.5 |
Actual return on plan assets | 20.0 | 37.4 |
Employer contributions | 14.9 | 14.7 |
Participants' contributions | 1.8 | 1.8 |
Settlements | (1.9) | (8.6) |
Change in currency exchange rates | (29.7) | 9.4 |
Benefits paid | (22.8) | (22.6) |
Fair value at end of year | 404.9 | 422.6 | $ 390.5
Funded status | (108.4) | (141.1) |
Amounts recognized in the Consolidated Balance Sheets: |  |  |
Noncurrent pension asset | 9.1 | 8.1 |
Noncurrent accrued pension costs | (117.5) | (149.2) |
Total | (108.4) | (141.1) |
Accumulated other comprehensive loss: |  |  |
Actuarial losses | 88.8 | 106.8 |
Prior service cost | 0.3 | 0.3 |
Total | 89.1 | 107.1 |
Total | (19.3) | (34.0) |
Accumulated benefit obligations ("ABO") | $ 499.7 | $ 549.8 |
Defined Benefit Plan, Funding Status [Extensible List] | us-gaap:FundedPlanMember | us-gaap:FundedPlanMember |

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- Definition Amount, before tax, of accumulated other comprehensive (income) loss for defined benefit plan, that has not been recognized in net periodic benefit cost (credit). + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 14A -Publisher FASB -URI https://asc.fasb.org/1943274/2147482790/220-10-45-14A Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 45 -Paragraph 10A -Subparagraph (j) -SubTopic 10 -Topic 220 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482790/220-10-45-10A Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 45 -Paragraph 10A -Subparagraph (k) -SubTopic 10 -Topic 220 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482790/220-10-45-10A Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 220 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 10A -Subparagraph (i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482790/220-10-45-10A Reference 5: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (j) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480506/715-20-50-1 + Details
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- Definition Amount, before tax, of accumulated other comprehensive income (loss) for gain (loss) of defined benefit plan, that has not been recognized in net periodic benefit (cost) credit. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section 45 -Paragraph 14A -Publisher FASB -URI https://asc.fasb.org/1943274/2147482790/220-10-45-14A Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (j) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480506/715-20-50-1 + Details
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