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Share-based compensation - Outstanding Stock Options (Details) - 12 months ended Dec. 31, 2023	€ / shares shares	$ / shares shares
EUR-denominated
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Number of outstanding options, Range of exercise prices (in shares)	32,839	32,839
Weighted average remaining contractual life of outstanding (years)	1 year 5 months 23 days	1 year 5 months 23 days
EUR-denominated | Price range three
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | € / shares	€ 50
Range of exercise prices, upper limit (in usd/eur per share) | € / shares	€ 60
Number of outstanding options, Range of exercise prices (in shares)	1,936	1,936
Weighted average remaining contractual life of outstanding (years)	3 months 18 days	3 months 18 days
EUR-denominated | Price range four
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | € / shares	€ 60
Range of exercise prices, upper limit (in usd/eur per share) | € / shares	€ 70
Number of outstanding options, Range of exercise prices (in shares)	2,457	2,457
Weighted average remaining contractual life of outstanding (years)	3 months 21 days	3 months 21 days
EUR-denominated | Price range five
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | € / shares	€ 70
Range of exercise prices, upper limit (in usd/eur per share) | € / shares	€ 80
Number of outstanding options, Range of exercise prices (in shares)	8,444	8,444
Weighted average remaining contractual life of outstanding (years)	1 year 4 months 2 days	1 year 4 months 2 days
EUR-denominated | Price range six
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | € / shares	€ 80
Range of exercise prices, upper limit (in usd/eur per share) | € / shares	€ 90
Number of outstanding options, Range of exercise prices (in shares)	9,966	9,966
Weighted average remaining contractual life of outstanding (years)	1 year 10 months 2 days	1 year 10 months 2 days
EUR-denominated | Price range seven
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | € / shares	€ 90
Range of exercise prices, upper limit (in usd/eur per share) | € / shares	€ 100
Number of outstanding options, Range of exercise prices (in shares)	10,036	10,036
Weighted average remaining contractual life of outstanding (years)	1 year 9 months	1 year 9 months
EUR-denominated | Price range eight
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | € / shares	€ 100
Range of exercise prices, upper limit (in usd/eur per share) | € / shares	€ 110
Number of outstanding options, Range of exercise prices (in shares)	0	0
Weighted average remaining contractual life of outstanding (years)	0 years	0 years
USD-denominated
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Number of outstanding options, Range of exercise prices (in shares)	23,962	23,962
Weighted average remaining contractual life of outstanding (years)	1 year 5 months 4 days	1 year 5 months 4 days
USD-denominated | Price range three
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | $ / shares		$ 50
Range of exercise prices, upper limit (in usd/eur per share) | $ / shares		$ 60
Number of outstanding options, Range of exercise prices (in shares)	0	0
Weighted average remaining contractual life of outstanding (years)	0 years	0 years
USD-denominated | Price range four
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | $ / shares		$ 60
Range of exercise prices, upper limit (in usd/eur per share) | $ / shares		$ 70
Number of outstanding options, Range of exercise prices (in shares)	0	0
Weighted average remaining contractual life of outstanding (years)	0 years	0 years
USD-denominated | Price range five
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | $ / shares		$ 70
Range of exercise prices, upper limit (in usd/eur per share) | $ / shares		$ 80
Number of outstanding options, Range of exercise prices (in shares)	0	0
Weighted average remaining contractual life of outstanding (years)	0 years	0 years
USD-denominated | Price range six
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | $ / shares		$ 80
Range of exercise prices, upper limit (in usd/eur per share) | $ / shares		$ 90
Number of outstanding options, Range of exercise prices (in shares)	7,569	7,569
Weighted average remaining contractual life of outstanding (years)	11 months 19 days	11 months 19 days
USD-denominated | Price range seven
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | $ / shares		$ 90
Range of exercise prices, upper limit (in usd/eur per share) | $ / shares		$ 100
Number of outstanding options, Range of exercise prices (in shares)	10,087	10,087
Weighted average remaining contractual life of outstanding (years)	1 year 7 months 2 days	1 year 7 months 2 days
USD-denominated | Price range eight
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items]
Range of exercise prices, lower limit (in usd/eur per share) | $ / shares		$ 100
Range of exercise prices, upper limit (in usd/eur per share) | $ / shares		$ 110
Number of outstanding options, Range of exercise prices (in shares)	6,306	6,306
Weighted average remaining contractual life of outstanding (years)	1 year 8 months 23 days	1 year 8 months 23 days

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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.

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No definition available.

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- Definition

The floor of a customized range of exercise prices for purposes of disclosing shares potentially issuable under outstanding stock option awards on all stock option plans and other required information pertaining to awards in the customized range.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (g)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480429/718-10-50-2

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The number of shares reserved for issuance pertaining to the outstanding stock options as of the balance sheet date for all option plans in the customized range of exercise prices.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
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-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480429/718-10-50-2

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- Definition

The ceiling of a customized range of exercise prices for purposes of disclosing shares potentially issuable under outstanding stock option awards on all stock option plans and other required information pertaining to awards in the customized range.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
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-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480429/718-10-50-2

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- Definition

Weighted average remaining contractual term of outstanding stock options, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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-Name Accounting Standards Codification
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