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Share-based compensation - Outstanding Stock Options (Details) - 12 months ended Dec. 31, 2025 | € / shares shares | $ / shares shares
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EUR-denominated |  |
Share-based Payment Arrangement, Option, Exercise Price Range [Line Items] |  |
Number of outstanding options, Range of exercise prices (in shares) | 5,479 | 5,479
Weighted average remaining contractual term of outstanding (years) | 3 months 25 days | 3 months 25 days
EUR-denominated | Price range one |  |
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) | 3,569 | 3,569
Weighted average remaining contractual term of outstanding (years) | 2 months 8 days | 2 months 8 days
EUR-denominated | Price range two |  |
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) | 1,910 | 1,910
Weighted average remaining contractual term of outstanding (years) | 6 months 21 days | 6 months 21 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 | € 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 term 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) | 4,643 | 4,643
Weighted average remaining contractual term of outstanding (years) | 3 months 18 days | 3 months 18 days
USD-denominated | Price range one |  |
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) | 0 | 0
Weighted average remaining contractual term of outstanding (years) | 0 years | 0 years
USD-denominated | Price range two |  |
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) | 2,976 | 2,976
Weighted average remaining contractual term of outstanding (years) | 1 month 24 days | 1 month 24 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 |  | $ 100
Range of exercise prices, upper limit (in usd/eur per share) | $ / shares |  | $ 110
Number of outstanding options, Range of exercise prices (in shares) | 1,667 | 1,667
Weighted average remaining contractual term of outstanding (years) | 6 months 21 days | 6 months 21 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 -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 + Details
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- Definition 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. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(1)(ii) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 718 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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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 -Subparagraph (g) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + 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 -Topic 718 -SubTopic 10 -Subparagraph (e)(1) -Name Accounting Standards Codification -Paragraph 2 -Section 50 -Publisher FASB -URI https://asc.fasb.org/1943274/2147480429/718-10-50-2 + Details
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