Goodwill and Acquired Intangible Assets - Schedule of Goodwill and Acquired Intangible Assets (Parenthetical) (Details)	12 Months Ended
Sep. 30, 2022	Sep. 30, 2021
Purchased Software
Weighted average useful lives (in years)	11 years	11 years
Customer Lists and Relationships
Weighted average useful lives (in years)	11 years	11 years
Trademarks and Trade Names
Weighted average useful lives (in years)	12 years	12 years

Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 1
-Subparagraph (a)(3)
-URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16265-109275

Name:	us-gaap_AcquiredFiniteLivedIntangibleAssetsWeightedAverageUsefulLife
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration