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Income taxes - Liability for Unrecognized Tax Benefits and Deferred Tax Position Recorded on Consolidated Balance Sheets (Detail) - EUR (€) € in Millions | Dec. 31, 2022 | Dec. 31, 2021 | Dec. 31, 2020
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Income Tax Disclosure [Abstract] |  |  |
Liability for unrecognized tax benefits | € (215.5) | € (205.9) | € (200.4)
Deferred tax assets | 1,672.8 | 1,098.7 | 671.5
Deferred tax liabilities | (51.5) | (34.7) | (37.9)
Deferred and other tax assets (liabilities) | € 1,405.8 | € 858.1 | € 433.2

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- Definition Amount, after allocation of valuation allowances and deferred tax liability, of deferred tax asset attributable to deductible differences and carryforwards, with jurisdictional netting. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 6 -URI https://asc.fasb.org/extlink&oid=123427490&loc=d3e31931-109318 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 4 -URI https://asc.fasb.org/extlink&oid=123427490&loc=d3e31917-109318 + Details
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