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Income Taxes - Uncertain tax positions (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2023 | Dec. 31, 2022 | Dec. 31, 2021
Change in unrecognized tax benefits |  |  |
Balance as of January 1 | $ 45,452 | $ 45,988 | $ 26,704
Additions for tax positions of prior years | 2,207 | 806 | 19,760
Reductions for tax positions of prior years | (256) | (1,342) | (476)
Settlements | (13,387) |  |
Balance as of December 31 | 34,016 | 45,452 | 45,988
Unrecognized tax benefits that would impact the worldwide effective tax rate if realized | 34,000 |  |
Interest and penalties on unrecognized tax benefits | 11,100 | 17,000 | 14,400
Accruals for estimated interest and penalties related to uncertain tax positions | (6,000) | 2,600 | $ 6,900
Interest accrued | 13,400 |  |
Penalties | 9,900 |  |
Deferred tax asset for Bermuda net operating losses | 171,900 |  |
Valuation allowance | 3,962,200 | $ 3,839,885 |
Bermuda |  |  |
Change in unrecognized tax benefits |  |  |
Valuation allowance | $ 171,900 |  |

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- Definition Amount before allocation of valuation allowances of deferred tax asset attributable to deductible domestic operating loss carryforwards. Excludes state and local operating loss carryforwards. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-6 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 8 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-8 + Details
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- Definition Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-2 + Details
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- Definition The amount of estimated interest accrued as of the balance sheet date arising from income tax examinations. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 15 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-15 + Details
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- Definition Amount of unrecognized tax benefits. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 15A -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-15A Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 10B -Publisher FASB -URI https://asc.fasb.org//1943274/2147482525/740-10-45-10B + Details
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