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Share-based compensation (Tables) | 12 Months Ended
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Dec. 31, 2024
Share-Based Payment Arrangement [Abstract] |
Schedule of Share-based Compensation Expense | The share-based compensation for these plans for the years ended December 31 was:
in $ millions | 2024 | 2023 | 2022
Performance Share Plan expense | 123 | 120 | 97
Share Option expense | 2 | 3 | 3
Total share-based compensation | 125 | 123 | 100
Schedule of Details of Awards Granted Under Performance Share Plan | The details of the awards granted under the PSP for the year ended December 31, 2024 were:
| Number of shares | Weighted average grant date fair value
| Shares in whole numbers | Amounts in $ | Amounts in €
Outstanding at beginning of year | 9,816,619 | 41.56 |  | 37.90 |
Granted | 1,856,679 | 79.52 |  | 73.85 |
Forfeited | (294,689) | 46.12 |  | 41.44 |
Vested | (3,080,029) | 40.93 |  | 34.97 |
Outstanding at end of year | 8,298,580 | 50.11 |  | 46.89 |
Schedule of Valuation Assumptions | The fair value assigned to the portion of awards subject to a TSR performance metric was calculated using the Monte Carlo simulation model, at the grant date, taking account of peer group TSR, volatilities and correlations together with the following assumptions:
| 2024 | 2023 | 2022
Risk-free interest rate (%) | 4.44 |  | 3.16 |  | 0.51 |
Expected volatility (%) | 30.3 |  | 28.9 |  | 36.9 |
Schedule of Valuation Assumptions | The assumptions used to determine the fair value of the options issued under the Share Options Schemes with three-year and five-year savings periods at December 31 were:
|  | 2022
|  |  | 3-year | 5-year
Risk-free interest rate (%) |  |  | 2.08 |  | 2.24 |
Expected dividend payments over the expected life (€) |  |  | 4.06 | 7.05
Expected volatility (%) |  |  | 26.4 |  | 24.2 |
Expected life term (years) |  |  | 3 | 5

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- Definition Tabular disclosure of allocation of amount expensed and capitalized for award under share-based payment arrangement to statement of income or comprehensive income and statement of financial position. Includes, but is not limited to, corresponding line item in financial statement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 718 -SubTopic 10 -Subparagraph (f)(2) -Name Accounting Standards Codification -Paragraph 2 -Section 50 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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- Definition Tabular disclosure of number and weighted-average grant date fair value for nonvested performance shares. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Section 50 -Subparagraph (c) -Paragraph 2 -SubTopic 10 -Topic 718 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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