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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, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Derivative Instruments Gain Loss [Line Items]        
Gain (loss) recognized in Other comprehensive income (loss) ("OCI") $ (15,014) $ 6,432 $ 10,226 $ (5,079)
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        
Derivative Instruments Gain Loss [Line Items]        
Derivative, 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 $ (917) $ (1,286) $ (360) $ (5,022)
Forward Contracts | Designated as Hedging Instrument | Net Investment Hedging        
Derivative Instruments Gain Loss [Line Items]        
Gain (loss) recognized in Other comprehensive income (loss) ("OCI") (19,898) 8,552 13,550 (6,752)
Gain (loss) reclassified from OCI to earnings 0 0 0 0
Gain recognized, excluded portion $ 1,254 $ 1,079 $ 2,329 $ 2,215