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Share-based compensation - Changes Stock Options (Details) - 12 months ended Dec. 31, 2022 | € / shares shares | $ / shares € / shares shares | $ / shares shares
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EUR-denominated Option Awards | Euro Member Countries, Euro |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward] |  |  |
Number of options, Outstanding, beginning (in shares) | 57,923 | 57,923 |
Number of options, Granted (in shares) | 0 | 0 |
Number of options, Exercised (in shares) | (10,016) | (10,016) |
Number of options, Forfeited (in shares) | 0 | 0 |
Number of option, Expired (in shares) | (300) | (300) |
Number of options, Outstanding, ending (in shares) | 47,607 | 47,607 |
Number of options, Exercisable (in shares) | 47,607 | 47,607 | 47,607
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract] |  |  |
Weighted average exercise price per ordinary share, Outstanding, beginning (in usd/eur per share) | € / shares | € 73.87 |  |
Weighted average exercise price per ordinary share, Granted (in usd/eur per share) | € / shares | 0 |  |
Weighted average exercise price per ordinary share, Exercised (in usd/eur per share) | € / shares | 55.49 |  |
Weighted average exercise price per ordinary share, Forfeited (in usd/eur per share) | € / shares | 0 |  |
Weighted average exercise price per ordinary share, Expired (in usd/eur per share) | € / shares | 40.03 |  |
Weighted average exercise price per ordinary share, Outstanding, ending (in usd/eur per share) | € / shares | 77.95 |  |
Weighted average exercise price per ordinary share (in usd/eur per share) | € / shares | € 77.95 | € 77.95 |
US-denominated Option Awards | US dollar |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding [Roll Forward] |  |  |
Number of options, Outstanding, beginning (in shares) | 35,251 | 35,251 |
Number of options, Granted (in shares) | 0 | 0 |
Number of options, Exercised (in shares) | (3,113) | (3,113) |
Number of options, Forfeited (in shares) | 0 | 0 |
Number of option, Expired (in shares) | 0 | 0 |
Number of options, Outstanding, ending (in shares) | 32,138 | 32,138 |
Number of options, Exercisable (in shares) | 32,138 | 32,138 | 32,138
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract] |  |  |
Weighted average exercise price per ordinary share, Outstanding, beginning (in usd/eur per share) | $ / shares |  | € 90.36 |
Weighted average exercise price per ordinary share, Granted (in usd/eur per share) | $ / shares |  | 0 |
Weighted average exercise price per ordinary share, Exercised (in usd/eur per share) | $ / shares |  | 64.73 |
Weighted average exercise price per ordinary share, Forfeited (in usd/eur per share) | $ / shares |  | 0 |
Weighted average exercise price per ordinary share, Expired (in usd/eur per share) | $ / shares |  | 0 |
Weighted average exercise price per ordinary share, Outstanding, ending (in usd/eur per share) | $ / shares |  | € 92.84 |
Weighted average exercise price per ordinary share (in usd/eur per share) | $ / shares |  |  | $ 92.84

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- Definition The number of shares into which fully or partially vested stock options outstanding as of the balance sheet date can be currently converted under the option 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)(1)(iii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition The weighted-average price as of the balance sheet date at which grantees can acquire the shares reserved for issuance on vested portions of options outstanding and currently exercisable under the stock option 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)(1)(iii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Number of options or other stock instruments for which the right to exercise has lapsed under the terms of the plan agreements. + 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)(1)(iv)(04) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition The number of shares under options that were cancelled during the reporting period as a result of occurrence of a terminating event specified in contractual agreements pertaining to the stock option 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)(1)(iv)(03) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Net number of share options (or share units) granted during the period. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(iv)(01) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Number of options outstanding, including both vested and non-vested options. + 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)(1)(ii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Weighted average price at which grantees can acquire the shares reserved for issuance under the stock option 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)(1)(ii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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