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

Amount of gain (loss) from excluded component of derivative hedge, recognized in earnings. Excludes recognition under systematic and rational method.

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Amount, before tax and reclassification, of gain (loss) from derivative designated and qualifying as net investment hedge.

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