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Share-based compensation - Changes Stock Options (Details) - 12 months ended Dec. 31, 2022	€ / shares shares	$ / shares € / shares shares	$ / shares shares
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

X

- 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
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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.

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Number of options or other stock instruments for which the right to exercise has lapsed under the terms of the plan agreements.

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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.

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Net number of share options (or share units) granted during the period.

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Number of options outstanding, including both vested and non-vested options.

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Weighted average price at which option holders acquired shares when converting their stock options into shares.

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Weighted average per share amount at which grantees can acquire shares of common stock by exercise of options.

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Number of share options (or share units) exercised during the current period.

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