Goodwill and Acquired Intangible Assets - Schedule of Goodwill and Acquired Intangible Assets (Parenthetical) (Details)	12 Months Ended
	Sep. 30, 2023
Weighted average useful lives (in years)	15 years
Purchased Software
Weighted average useful lives (in years)	11 years
Customer Lists and Relationships
Weighted average useful lives (in years)	17 years
Trademarks and Trade Names
Weighted average useful lives (in years)	11 years