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Derivative Financial Instruments - Schedule of Derivative Instruments and Hedging Activities Disclosures (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2023
Mar. 31, 2022
Derivative Instruments Gain Loss [Line Items]        
Derivative, Excluded Component, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Nonoperating Income Expense Nonoperating Income Expense Nonoperating Income Expense Nonoperating Income Expense
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 $ (1,422) $ 3,797 $ (12,431) $ 362
Gain (loss) recognized in OCI (1,422) 3,797 (12,431) 362
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 (915) 81 (5,425) (3,075)
Gain (loss) recognized in OCI (915) 81 (5,425) (3,075)
Gain (loss) reclassified from OCI (1,996) (1,415) 5,034 (7,150)
Gain recognized, excluded portion $ 1,179 $ 342 $ 2,148 $ 609