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Derivative Instruments (Tables) | 6 Months Ended
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Mar. 31, 2024
Derivative Instruments and Hedging Activities Disclosure [Abstract] |
Schedule of realized gains (losses) on derivatives not designated as hedging instruments | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Three Months Ended | ​ | Six Months Ended
​ | ​ | March 31, | ​ | March 31,
​ |  | 2024 |  | 2023 |  | 2024 |  | 2023
Realized losses on derivatives not designated as hedging instruments | ​ | $ | (548) | ​ | $ | (533) | ​ | $ | (1,787) | ​ | $ | (2,112)
Schedule of notional amounts of derivative instruments | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | March 31, |  | September 30,
​ | ​ | Hedge Designation | ​ | ​ | 2024 | ​ | ​ | 2023
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Cross-currency swap | ​ | Net Investment Hedge | ​ | $ | 75,978 | ​ | $ | 436,360
Foreign exchange contracts | ​ | Undesignated | ​ | ​ | 73,415 | ​ | ​ | 184,800

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- Definition Tabular disclosure of the location and amount of derivative instruments and nonderivative instruments designated as hedging instruments reported before netting adjustments, and the amount of gain (loss) on derivative instruments and nonderivative instruments designated and qualified as hedging instruments. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 815 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 4E -Publisher FASB -URI https://asc.fasb.org//1943274/2147480434/815-10-50-4E Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Publisher FASB -URI https://asc.fasb.org//1943274/2147480434/815-10-50-4C Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4A -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480434/815-10-50-4A + Details
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- Definition Tabular disclosure of the notional amounts of outstanding derivative positions. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 1A -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480434/815-10-50-1A + Details
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