Goodwill and Intangible Assets - Schedule of Changes in Goodwill by Reportable Segments (Details) $ in Thousands	6 Months Ended
	Mar. 31, 2024 USD ($)
Goodwill [Line Items]
Balance, October 1, 2023	$ 3,358,511
Foreign currency translation adjustment	10,744
Balance, March 31, 2024	3,446,373
Pure System
Goodwill [Line Items]
Goodwill, acquired	$ 77,118