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Earnings per share - Computations of ordinary shares outstanding, excluding nonvested restricted stock - (Details) - shares	Jun. 30, 2025	Dec. 31, 2024	Jun. 30, 2024
Earnings Per Share [Abstract]
Ordinary share issued (in shares)	196,043,739	204,543,739
Treasury shares (in shares)	(17,733,971)	(17,760,514)
Ordinary shares outstanding (in shares)	178,309,768	186,783,225
Shares of unvested restricted stock (in shares)	(4,051,509)	(5,072,382)	(4,975,247)
Ordinary shares outstanding, excluding shares of unvested restricted stock (in shares)	174,258,259	181,710,843

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- Definition

Common Shares Outstanding For Basic EPS

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- Definition

Share-based Compensation Arrangement by Share-based Payment Award, Restricted Stock, Unvested

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- Definition

Total number of common shares of an entity that have been sold or granted to shareholders (includes common shares that were issued, repurchased and remain in the treasury). These shares represent capital invested by the firm's shareholders and owners, and may be all or only a portion of the number of shares authorized. Shares issued include shares outstanding and shares held in the treasury.

+ References

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-Topic 210
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-Name Accounting Standards Codification
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- Definition

Number of shares of common stock outstanding. Common stock represent the ownership interest in a corporation.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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Number of previously issued common shares repurchased by the issuing entity and held in treasury.

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