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Derivative Financial Instruments - Schedule of Derivative Instruments and Hedging Activities Disclosures (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Designated as Hedging Instrument      
Derivative Instruments Gain Loss [Line Items]      
Gain (loss) recognized in OCI—effective portion     $ 200
Foreign Exchange Forward | Not Designated as Hedging Instrument | Other Income      
Derivative Instruments Gain Loss [Line Items]      
Net realized and unrealized gain (loss), excluding the underlying foreign currency exposure being hedged $ (3,758) $ 3,518 (11,314)
Foreign Exchange Forward | Designated as Hedging Instrument | Net Investment Hedging      
Derivative Instruments Gain Loss [Line Items]      
Gain (loss) recognized in OCI—effective portion 695 (5,483) (2,925)
Gain (loss) reclassified from OCI—effective portion 2,723 109 (7,630)
Foreign Exchange Forward | Designated as Hedging Instrument | Other Income | Net Investment Hedging      
Derivative Instruments Gain Loss [Line Items]      
Gain recognized—portion excluded from effectiveness testing $ 1,249 $ 3,506 $ 4,598