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Summary of Significant Accounting Policies - Foreign Currency Translation (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Foreign Currency Transaction Gain (Loss), before Tax [Abstract]      
Foreign currency transaction and remeasurement gains (losses) $ 1,700 $ 1,800 $ 3,400
Other Comprehensive Income (Loss), Foreign Currency Transaction and Translation Adjustment, Net of Tax [Abstract]      
Foreign currency translation reclassification adjustments included in income from discontinued operation $ 16,567