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Derivative Financial Instruments - Schedule of Derivative Instruments and Hedging Activities Disclosures (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2020
Derivative Instruments Gain Loss [Line Items] |  |  |
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 | Other income, net |  |  |
Derivative Instruments Gain Loss [Line Items] |  |  |
Net realized and unrealized gain (loss), excluding the underlying foreign currency exposure being hedged | $ 11,950 | $ (3,758) | $ 3,518
Foreign Exchange Forward | Designated as Hedging Instrument | Net Investment Hedging |  |  |
Derivative Instruments Gain Loss [Line Items] |  |  |
Net realized and unrealized gain (loss), excluding the underlying foreign currency exposure being hedged | (1,478) | 695 | (5,483)
Gain (loss) reclassified from OCI—effective portion | (17,466) | 2,723 | 109
Gain recognized—portion excluded from effectiveness testing | $ 1,862 | $ 1,249 | $ 3,506

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- Definition Amount of gain (loss) from excluded component of derivative hedge, recognized in earnings. Excludes recognition under systematic and rational method. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 20 -Section 45 -Paragraph 1A -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=121577181&loc=SL110061172-113977 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Subparagraph (d) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624171-113959 + Details
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- Definition Indicates line item in statement of income or comprehensive income that includes gain (loss) recognized in earnings from excluded component of derivative hedge. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Subparagraph (d) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624171-113959 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4D -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624177-113959 + Details
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- Definition Amount of realized and unrealized gain (loss) of derivative instruments not designated or qualifying as hedging instruments. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4CC -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL109998890-113959 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4C -Subparagraph (e) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL5624171-113959 + Details
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- Definition Amount, before tax, of reclassification from accumulated other comprehensive income (AOCI) for gain (loss) from derivative designated and qualifying as net investment hedge. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 815 -SubTopic 10 -Section 50 -Paragraph 4CCC -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=125515794&loc=SL109998896-113959 + Details
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