Revenue from Contracts with Customers - Summary of Revenue and Profit Attributable to Product Groups (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Revenue from External Customer [Line Items]
Total revenue	$ 2,298,472	$ 2,097,053	$ 1,933,347
Product lifecycle management (PLM)
Revenue from External Customer [Line Items]
Total revenue	1,459,078	1,330,316	1,137,016
Computer-aided design (CAD)
Revenue from External Customer [Line Items]
Total revenue	$ 839,394	$ 766,737	$ 796,331