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Derivative Financial Instruments - Schedule of Derivative Instruments and Hedging Activities Disclosures (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Derivative Instruments Gain Loss [Line Items]      
Gain (loss) recognized in OCI $ (7,516) $ 17,556 $ 1,248
Derivative, Excluded Component, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Nonoperating Income (Expense) Nonoperating Income (Expense) Nonoperating Income (Expense)
Foreign Exchange Forward Contract and Options | Not Designated as Hedging Instrument      
Derivative Instruments Gain Loss [Line Items]      
Net realized and unrealized gain (loss), excluding the underlying foreign currency exposure being hedged $ (11,757) $ 14,603 $ (6,055)
Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Nonoperating Income (Expense) Nonoperating Income (Expense) Nonoperating Income (Expense)
Forward Contracts | Designated as Hedging Instrument | Net Investment Hedging      
Derivative Instruments Gain Loss [Line Items]      
Gain (loss) recognized in OCI $ (10,033) $ 23,379 $ 1,660
Gain (loss) reclassified from OCI to earnings 0 0 0
Gain recognized, excluded portion $ 4,241 $ 1,797 $ 1,249