Derivative Financial Instruments - Schedule of Notional Amounts of Outstanding Forward Contracts (Details) - Forward Contracts - Designated as Hedging Instrument - Net Investment Hedging - USD ($) $ in Thousands	Mar. 31, 2025	Sep. 30, 2024
Derivative [Line Items]
Notional amount	$ 453,500	$ 473,633
Euro / U.S. Dollar
Derivative [Line Items]
Notional amount	443,398	462,894
Japanese Yen / U.S. Dollar
Derivative [Line Items]
Notional amount	$ 10,102	$ 10,739