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Derivative Financial Instruments - Schedule of Derivative Instruments and Hedging Activities Disclosures (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Foreign Exchange Forward Contract and Options | Not Designated as Hedging Instrument | Other income (expense), net        
Derivative Instruments Gain Loss [Line Items]        
Net realized and unrealized (gain) loss, excluding the underlying foreign currency exposure being hedged $ 3,399 $ (2,508) $ 3,761 $ (7,128)
Forward Contracts | Designated as Hedging Instrument | Net Investment Hedging        
Derivative Instruments Gain Loss [Line Items]        
Net realized and unrealized (gain) loss, excluding the underlying foreign currency exposure being hedged 1,082 (2,309) (1,993) (268)
Gain (loss) reclassified from OCI (4,281) 4,143 (11,431) 4,044
Forward Contracts | Designated as Hedging Instrument | Other income (expense), net | Net Investment Hedging        
Derivative Instruments Gain Loss [Line Items]        
Gain recognized, excluded portion $ 515 $ 267 $ 1,124 $ 1,000