Income Taxes - Summary of Income Tax Contingencies (Details) - USD ($) $ in Thousands  | 
12 Months Ended | ||
|---|---|---|---|
Sep. 30, 2022  | 
Sep. 30, 2021  | 
Sep. 30, 2020  | 
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| Reconciliation of the beginning and ending amount of gross unrecognized tax benefits | |||
| Balance at beginning of year | $ 12,642 | $ 1,798 | $ 3,001 | 
| Additions for acquired unrecognized tax benefits | 0 | 11,244 | 0 | 
| Decreases for lapse of statue of limitations | (1,412) | 0 | 0 | 
| Decreases for settlements with taxing authorities | (4,785) | 0 | 0 | 
| Increases for tax positions taken in current year | 2,231 | 300 | 770 | 
| Decreases for tax positions taken in current year | 0 | (700) | (1,973) | 
| Balance at end of year | $ 8,676 | $ 12,642 | $ 1,798 | 
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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. No definition available. 
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- Definition Amount of unrecognized tax benefits. Reference 1: http://www.xbrl.org/2003/role/disclosureRef 
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- Definition Amount of decrease in unrecognized tax benefits resulting from tax positions that have been or will be taken in current period tax return. Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef 
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- Definition Amount of decrease in unrecognized tax benefits resulting from settlements with taxing authorities. Reference 1: http://www.xbrl.org/2003/role/disclosureRef 
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- Definition Amount of increase in unrecognized tax benefits resulting from acquisitions. No definition available. 
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- Definition Amount of increase in unrecognized tax benefits resulting from tax positions that have been or will be taken in current period tax return. Reference 1: http://www.xbrl.org/2003/role/disclosureRef 
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- Definition Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations. Reference 1: http://www.xbrl.org/2003/role/disclosureRef 
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