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Inventories, net - Allowance for Obsolescence (Details) - EUR (€) € in Millions	12 Months Ended
	Dec. 31, 2024	Dec. 31, 2023	Dec. 31, 2022
Activity in the allowance for obsolescence
Balance at beginning of year	€ (693.2)	€ (466.9)
Additions for the year	(554.7)	(485.3)	€ (278.5)
Effect of changes in exchange rates	(1.7)	2.4
Utilization of the reserve	338.1	256.6
Balance at end of year	€ (911.5)	€ (693.2)	€ (466.9)

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- Definition

Inventory valuation reserves effect of exchange rates.

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Utilization Of The Provision

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- Definition

Amount of valuation reserve for inventory.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 330
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SAB Topic 5.BB)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480581/330-10-S99-2

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(6))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

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- Definition

Amount of loss from reductions in inventory due to subsequent measurement adjustments, including, but not limited to, physical deterioration, obsolescence, or changes in price levels.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 330
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483080/330-10-50-2

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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