Derivative Financial Instruments - Schedule of Derivative Instruments and Hedging Activities Disclosures (Details) - USD ($) $ in Thousands	12 Months Ended
Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Derivative Instruments Gain Loss [Line Items]
Gain (loss) recognized in OCI	$ (16,315)	$ (7,516)	$ 17,556
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]
Derivative, 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 \| Other income (expense), net
Derivative Instruments Gain Loss [Line Items]
Net realized and unrealized gain (loss), excluding the underlying foreign currency exposure being hedged	$ (6,238)	$ (11,757)	$ 14,603
Forward contracts \| Designated as Hedging Instrument \| Net Investment Hedging
Derivative Instruments Gain Loss [Line Items]
Gain (loss) recognized in OCI	(21,643)	(10,033)	23,379
Gain (loss) reclassified from OCI to earnings	0	0	0
Gain recognized, excluded portion	$ 4,346	$ 4,241	$ 1,797

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

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Indicates line item in statement of income or comprehensive income that includes gain (loss) recognized in earnings from excluded component of derivative hedge.

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Indicates line item in statement of income or comprehensive income that includes gain (loss) from derivative.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Amount of realized and unrealized gain (loss) of derivative instruments not designated or qualifying as hedging instruments.

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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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Amount, before tax, of reclassification from accumulated other comprehensive income (AOCI) for gain (loss) from derivative designated and qualifying as net investment hedge.

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