Summary of Significant Accounting Policies - Finite-lived Intangible Assets (Details)	12 Months Ended
	Sep. 30, 2022
Trademarks | Minimum
Finite-Lived Intangible Assets [Line Items]
Amortizable lives	3 years
Trademarks | Maximum
Finite-Lived Intangible Assets [Line Items]
Amortizable lives	13 years
Patents
Finite-Lived Intangible Assets [Line Items]
Amortizable lives	7 years
Completed Technology | Minimum
Finite-Lived Intangible Assets [Line Items]
Amortizable lives	7 years
Completed Technology | Maximum
Finite-Lived Intangible Assets [Line Items]
Amortizable lives	20 years
Customer Relationships | Minimum
Finite-Lived Intangible Assets [Line Items]
Amortizable lives	6 years
Customer Relationships | Maximum
Finite-Lived Intangible Assets [Line Items]
Amortizable lives	14 years