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Income Taxes - Tax Jurisdictions and Years Currently under Audit Exam (Details)	12 Months Ended
	Sep. 30, 2022
United States | Earliest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2017
United States | Latest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2018
Belgium | Earliest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2015
Belgium | Latest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2021
Germany | Earliest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2007
Germany | Latest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2018
Luxembourg | Earliest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2017
Luxembourg | Latest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2018
Mexico | Earliest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2015
Mexico | Latest Tax Year
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2017
United Kingdom | Tax Year 2014
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2014
United Kingdom | Tax Year 2015
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2015
United Kingdom | Tax Year 2017
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2017
United Kingdom | Tax Year 2018
Income Tax Examination [Line Items]
Tax jurisdictions and years currently under audit exam	2018

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- Definition

Tax year being audited in the income tax examination, in YYYY format.

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