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Summary of Significant Accounting Policies - Hedging Activities (Details) $ in Thousands, € in Millions | 12 Months Ended |  |  |
--- | --- | --- | --- | ---
Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Sep. 30, 2020 USD ($) | Sep. 30, 2022 EUR (€) | Feb. 23, 2022 USD ($) | Feb. 01, 2022 USD ($) | Feb. 01, 2022 EUR (€)
Derivative [Line Items] |  |  |  |  |  |  |
Unrealized gain on derivative asset, net of tax effects | $ 93,020 |  |  |  |  |  |
Interest income | 20,286 | $ 632 | $ 849 |  |  |  |
Foreign Exchange Contract [Member] | Designated as Hedging Instrument |  |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |  |
Unrealized gain on derivative asset, net of tax effects | 93,000 |  |  |  |  |  |
Currency Swap | Designated as Hedging Instrument |  |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |  |
Derivative, notional amount, cross-currency swap, exchanged |  |  |  |  |  | $ 1,030,000 |
Derivative, notional amount, cross-currency swap, received | € |  |  |  |  |  |  | € 915
Derivative, notional amount |  |  |  |  |  | $ 960,000 |
Derivative, fixed interest rate (as a percent) |  |  |  |  |  | 1.283% | 1.283%
Derivative, notional amount, cross-currency swap, maturity, deliver | € |  |  |  | € 852 |  |  |
Derivative, notional amount, cross-currency swap, maturity, receive |  |  |  |  | $ 960,000 |  |
Derivative, forward exchange rate |  |  |  |  | 1.1261 |  |
Gain to accumulated other comprehensive income | 124,800 |  |  |  |  |  |
Unrealized gain on derivative asset, net of tax effects | 93,000 |  |  |  |  |  |
Interest income | $ 8,200 |  |  |  |  |  |
Currency Swap | Designated as Hedging Instrument | Weighted Average |  |  |  |  |  |  |
Derivative [Line Items] |  |  |  |  |  |  |
Derivative, variable interest rate |  |  |  |  |  | 1.196% | 1.196%

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