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Earnings per share - Computations of ordinary shares outstanding, excluding nonvested restricted stock - (Details) - shares	Jun. 30, 2023	Dec. 31, 2022	Jun. 30, 2022
Earnings Per Share [Abstract]
Ordinary share issued (in shares)	250,347,345	250,347,345
Treasury stock, at cost (in shares)	(17,841,852)	(4,416,070)
Ordinary shares outstanding (in shares)	232,505,493	245,931,275
Unvested restricted stock (in shares)	(4,233,182)	(4,837,602)	(5,032,769)
Ordinary shares outstanding, excluding shares of unvested restricted stock (in shares)	228,272,311	241,093,673

X

- 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

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-Publisher FASB
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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
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-SubTopic 10
-Topic 505
-Publisher FASB
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Reference 2: http://www.xbrl.org/2003/role/disclosureRef
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-Name Accounting Standards Codification
-Section S99
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Reference 4: http://www.xbrl.org/2003/role/disclosureRef
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Number of previously issued common shares repurchased by the issuing entity and held in treasury.

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