Stockholders' Equity and Weighted Average Common Shares Outstanding - Schedule of Components of Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands	Sep. 30, 2024	Sep. 30, 2023
Accumulated Other Comprehensive Income (Loss) [Line Items]
Total accumulated other comprehensive loss	$ 645,938	$ 522,003
Total accumulated other comprehensive loss
Accumulated Other Comprehensive Income (Loss) [Line Items]
Total accumulated other comprehensive loss	(989,118)	(1,402,607)
Foreign currency translation
Accumulated Other Comprehensive Income (Loss) [Line Items]
Total accumulated other comprehensive loss	(988,484)	(1,402,245)
Other, net
Accumulated Other Comprehensive Income (Loss) [Line Items]
Total accumulated other comprehensive loss	$ (634)	$ (362)