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Share-based compensation - Summary of Share Plans (Details) € / shares in Units, € in Millions | 12 Months Ended
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Dec. 31, 2022 EUR (€) € / shares | Dec. 31, 2022 $ / shares | Dec. 31, 2021 EUR (€) € / shares | Dec. 31, 2021 $ / shares | Dec. 31, 2020 EUR (€) € / shares | Dec. 31, 2020 $ / shares
EUR-dominated Awards |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Total fair value at vesting date of shares vested during the year (in millions) | € 120.6 |  | € 156.9 |  | € 124.9 |
Weighted average fair value of shares granted (in usd/eur per share) | € / shares | € 578.65 |  | € 547.79 |  | € 297.05 |
US-denominated Awards |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Total fair value at vesting date of shares vested during the year (in millions) | € 149.6 |  | € 164.0 |  | € 133.9 |
Weighted average fair value of shares granted (in usd/eur per share) | $ / shares |  | $ 553.61 |  | $ 498.64 |  | $ 302.75

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- Definition The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(01) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(2) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
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