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Income taxes - Current and Deferred Tax Expense (Details) - EUR (€) € in Millions	12 Months Ended
	Dec. 31, 2024	Dec. 31, 2023	Dec. 31, 2022
Income Tax Disclosure [Abstract]
Current year tax (expense) / benefit	€ (1,535.6)	€ (1,766.1)	€ (1,440.9)
Prior year tax (expense) / benefit	(211.2)	113.1	(55.8)
Total income tax (expense) / benefit current	(1,746.8)	(1,653.0)	(1,496.7)
Changes to recognition of operating losses and tax credits	(24.9)	3.0	(41.2)
Prior year tax (expense) / benefit	93.1	(85.2)	79.2
Tax rate changes	0.0	13.5	(1.1)
Origination and reversal of temporary differences, operating losses and tax credits	(2.0)	285.9	489.9
Total deferred tax (expense) / benefit	€ 66.2	€ 217.2	€ 526.8

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Current Year Income Tax Expense (Benefit)

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Deferred Income Tax Expense (Benefit), Changes Due To Recognition Of Tax Loss And Credit Carry Forwards

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Deferred Income Tax Expense (Benefit), Origination And Reversal Of Temporary Difference, Tax Losses And Tax Credits

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Prior Year Income Tax Expense (Benefit)

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- Definition

Amount of current income tax expense (benefit) pertaining to taxable income (loss) from continuing operations.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.4-08(h)(1)(Note 1))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 9
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482685/740-10-50-9

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Amount of deferred income tax expense (benefit) pertaining to income (loss) from continuing operations.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (b)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-28

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.4-08(h)(1)(Note 1))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 9
-Subparagraph (b)
-SubTopic 10
-Topic 740
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482685/740-10-50-9

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