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Intangible assets, net - Finite-Lived Intangible Assets Amortization Expense (Detail) - EUR (€) € in Millions	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
Finite-Lived Intangible Assets [Line Items]
Amortization	€ 127.6	€ 135.1	€ 133.0
Cost of Sales
Finite-Lived Intangible Assets [Line Items]
Amortization	102.7	105.9	107.8
R&D Costs
Finite-Lived Intangible Assets [Line Items]
Amortization	19.5	18.2	14.5
SG&A
Finite-Lived Intangible Assets [Line Items]
Amortization	€ 5.4	€ 11.0	€ 10.7

X

- Definition

The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (b)
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-Topic 230
-Publisher FASB
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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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-SubTopic 20
-Name Accounting Standards Codification
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-Publisher FASB
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