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Income Taxes - Summary of Major Tax Jurisdiction (Details)
12 Months Ended
Sep. 30, 2023
United States  
Income Tax Examination [Line Items]  
Open Years 2020 2021 2022 2023
Germany  
Income Tax Examination [Line Items]  
Open Years 2015 2016 2017 2018 2019 2020 2021 2022 2023
France  
Income Tax Examination [Line Items]  
Open Years 2020 2021 2022 2023
Japan  
Income Tax Examination [Line Items]  
Open Years 2018 2019 2020 2021 2022 2023
Ireland  
Income Tax Examination [Line Items]  
Open Years 2019 2020 2021 2022 2023