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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, 2025 | Jun. 30, 2024 | Jun. 30, 2025 | Jun. 30, 2024
Derivative Instruments Gain Loss [Line Items] |  |  |  |
Gain (loss) recognized in Other comprehensive income (loss) ("OCI") | $ (29,904) | $ 2,292 | $ (19,678) | $ (2,787)
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 | 4,021 | (1,590) | 3,661 | (6,611)
Forward Contracts | Designated as Hedging Instrument | Net Investment Hedging |  |  |  |
Derivative Instruments Gain Loss [Line Items] |  |  |  |
Gain (loss) recognized in Other comprehensive income (loss) ("OCI") | (39,628) | 3,047 | (26,078) | (3,705)
Gain (loss) reclassified from OCI to earnings | 0 | 0 | 0 | 0
Gain recognized, excluded portion | $ 1,743 | $ 946 | $ 4,072 | $ 3,161

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