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Goodwill and Acquired Intangible Assets - Schedule of Goodwill and Acquired Intangible Assets (Parenthetical) (Details)
12 Months Ended
Sep. 30, 2024
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