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Shareholders' equity - Purchase of Equity Securities (Details) - EUR (€) € / shares in Units, € in Millions | 1 Months Ended | 2 Months Ended | 3 Months Ended | 4 Months Ended | 5 Months Ended | 6 Months Ended | 7 Months Ended | 8 Months Ended | 9 Months Ended | 10 Months Ended | 11 Months Ended | 12 Months Ended
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Dec. 31, 2025 | Nov. 30, 2025 | Oct. 31, 2025 | Sep. 30, 2025 | Aug. 31, 2025 | Jul. 31, 2025 | Jun. 30, 2025 | May 31, 2025 | Apr. 30, 2025 | Mar. 31, 2025 | Feb. 28, 2025 | Jan. 31, 2025 | Feb. 28, 2025 | Mar. 31, 2025 | Apr. 30, 2025 | May 31, 2025 | Jun. 30, 2025 | Jul. 31, 2025 | Aug. 31, 2025 | Sep. 30, 2025 | Oct. 31, 2025 | Nov. 30, 2025 | Dec. 31, 2025 | Dec. 31, 2024
Equity [Abstract] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total number of shares purchased (in shares) | 580,630 | 816,582 | 483,439 | 0 | 0 | 200,024 | 385,453 | 398,170 | 1,390,673 | 2,067,246 | 1,819,703 | 181,400 | 2,001,103 | 4,068,349 | 5,459,022 | 5,857,192 | 6,242,645 | 6,442,669 | 6,442,669 | 6,442,669 | 6,926,108 | 7,742,690 | 8,323,320 | 574,925
Average price paid per share (Euro per share) | € 934.45 | € 885.88 | € 897.81 | € 0 | € 0 | € 676.40 | € 669.72 | € 648.62 | € 583.36 | € 658.42 | € 712.36 | € 714.60 |  |  |  |  |  |  |  |  |  |  | € 714.86 |
Maximum value of shares that may yet be purchased (€ millions) | € 4,350.0 | € 4,892.6 | € 5,616.0 | € 6,050.0 | € 6,050.0 | € 6,050.0 | € 6,185.3 | € 6,443.4 | € 6,701.7 | € 7,513.0 | € 8,874.1 | € 10,170.4 |  |  |  |  |  |  |  |  |  |  |  |

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