Summary of Significant Accounting Policies (Details) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Finite-Lived Intangible Assets [Line Items]
Sales to external customers		$ 1,737,076	$ 1,464,429	$ 1,429,456
Foreign currency losses (gains) on intracompany loans		$ 18,712	$ (927)	$ (8,216)
Minimum | Transferred at Point in Time
Finite-Lived Intangible Assets [Line Items]
Sales to external customers	$ 100
Machinery and equipment | Minimum
Finite-Lived Intangible Assets [Line Items]
Property, plant and equipment, useful life		3 years
Machinery and equipment | Maximum
Finite-Lived Intangible Assets [Line Items]
Property, plant and equipment, useful life		20 years
Building and Building Improvements | Minimum
Finite-Lived Intangible Assets [Line Items]
Property, plant and equipment, useful life		10 years
Building and Building Improvements | Maximum
Finite-Lived Intangible Assets [Line Items]
Property, plant and equipment, useful life		40 years