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Share-based compensation - Outstanding Stock Options (Details) - 12 months ended Dec. 31, 2022 | € / shares shares | $ / shares shares
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EUR-denominated Option Awards |  |
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items] |  |
Number of outstanding options, Range of exercise prices (in shares) | 47,607 | 47,607
Weighted average remaining contractual life of outstanding (years) | 2 years 29 days | 2 years 29 days
EUR-denominated Option Awards | 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) | 5,268 | 5,268
Weighted average remaining contractual life of outstanding (years) | 11 months 15 days | 11 months 15 days
EUR-denominated Option Awards | 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) | 10,773 | 10,773
Weighted average remaining contractual life of outstanding (years) | 11 months 15 days | 11 months 15 days
EUR-denominated Option Awards | 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) | 10,109 | 10,109
Weighted average remaining contractual life of outstanding (years) | 2 years 4 months 6 days | 2 years 4 months 6 days
EUR-denominated Option Awards | 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) | 10,791 | 10,791
Weighted average remaining contractual life of outstanding (years) | 2 years 9 months 29 days | 2 years 9 months 29 days
EUR-denominated Option Awards | 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) | 10,666 | 10,666
Weighted average remaining contractual life of outstanding (years) | 2 years 8 months 23 days | 2 years 8 months 23 days
EUR-denominated Option Awards | 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
US-denominated Option Awards |  |
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items] |  |
Number of outstanding options, Range of exercise prices (in shares) | 32,138 | 32,138
Weighted average remaining contractual life of outstanding (years) | 2 years 1 month 2 days | 2 years 1 month 2 days
US-denominated Option Awards | 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
US-denominated Option Awards | 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) | 278 | 278
Weighted average remaining contractual life of outstanding (years) | 21 days | 21 days
US-denominated Option Awards | 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) | 828 | 828
Weighted average remaining contractual life of outstanding (years) | 3 months 18 days | 3 months 18 days
US-denominated Option Awards | 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) | 8,855 | 8,855
Weighted average remaining contractual life of outstanding (years) | 1 year 10 months 24 days | 1 year 10 months 24 days
US-denominated Option Awards | 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) | 15,308 | 15,308
Weighted average remaining contractual life of outstanding (years) | 2 years 18 days | 2 years 18 days
US-denominated Option Awards | 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) | 6,869 | 6,869
Weighted average remaining contractual life of outstanding (years) | 2 years 8 months 26 days | 2 years 8 months 26 days

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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 -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (g) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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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. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (e)(1) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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