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Derivative Financial Instruments - Schedule of Derivative Instruments and Hedging Activities Disclosures (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
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Jun. 30, 2022 | Jun. 30, 2021 | Jun. 30, 2022 | Jun. 30, 2021
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 | $ 3,399 | $ (2,508) | $ 3,761 | $ (7,128)
Forward Contracts | 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 | 1,082 | (2,309) | (1,993) | (268)
Gain (loss) reclassified from OCI | (4,281) | 4,143 | (11,431) | 4,044
Forward Contracts | Designated as Hedging Instrument | Other income (expense), net | Net Investment Hedging |  |  |  |
Derivative Instruments Gain Loss [Line Items] |  |  |  |
Gain recognized, excluded portion | $ 515 | $ 267 | $ 1,124 | $ 1,000

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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 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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