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Nature of Business and Summary of Significant Accounting Policies - Additional Information (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Accounting Policies [Abstract]
Depreciation and amortization, property and equipment	$ 10.1	$ 15.2	$ 20.3
Foreign exchange gains (losses)	(2.6)	1.9	0.0
Advertising and promotion costs	$ 9.8	$ 8.1	$ 6.9

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- References

No definition available.

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The current period expense charged against earnings on long-lived, physical assets not used in production, and which are not intended for resale, to allocate or recognize the cost of such assets over their useful lives; or to record the reduction in book value of an intangible asset over the benefit period of such asset; or to reflect consumption during the period of an asset that is not used in production.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (b)
-SubTopic 10
-Topic 230
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Amount, before tax, of realized and unrealized gain (loss) from foreign currency transaction.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.6-07(7))
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Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Topic 830
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The total expense recognized in the period for promotion, public relations, and brand or product advertising.

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