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Income Taxes - Summary of Income Tax Contingencies (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Reconciliation of the beginning and ending amount of gross unrecognized tax benefits |  |  |
Balance at beginning of year | $ 8,676 | $ 12,642 | $ 1,798
Additions for acquired unrecognized tax benefits | 0 | 0 | 11,244
Decreases for lapse of statute of limitations | (2,051) | (1,412) | 0
Decreases for settlements with taxing authorities | (692) | (4,785) | 0
Increases for tax positions taken in current year | 300 | 2,231 | 300
Decreases for tax positions taken in current year | 0 | 0 | (700)
Balance at end of year | $ 6,233 | $ 8,676 | $ 12,642

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- Definition Amount of unrecognized tax benefits. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 15A -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-15A Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 10B -Publisher FASB -URI https://asc.fasb.org//1943274/2147482525/740-10-45-10B + Details
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