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Segment Information - (Schedule of Property, Plant and Equipment, Net by Geographical Area) (Details) - USD ($) $ in Thousands	Sep. 30, 2025	Sep. 30, 2024
Segment Reporting Information [Line Items]
Property, plant and equipment, net	$ 986,623	$ 940,715
United States [Member]
Segment Reporting Information [Line Items]
Property, plant and equipment, net	841,528	827,242
Germany [Member]
Segment Reporting Information [Line Items]
Property, plant and equipment, net	109,403	87,970
Other Countries [Member]
Segment Reporting Information [Line Items]
Property, plant and equipment, net	$ 35,692	$ 25,503

X

- Definition

Amount after accumulated depreciation, depletion and amortization of physical assets used in the normal conduct of business to produce goods and services and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, and furniture and fixtures.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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Reference 2: http://www.xbrl.org/2003/role/disclosureRef
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Reference 3: http://www.xbrl.org/2003/role/exampleRef
-Topic 852
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Reference 4: http://www.xbrl.org/2003/role/disclosureRef
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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.

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