Revenue from Contracts with Customers - Summary of Revenue and Profit Attributable to Product Groups (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Revenue from External Customer [Line Items]
Total revenue	$ 2,097,053	$ 1,933,347	$ 1,807,159
Operating Segments
Revenue from External Customer [Line Items]
Total revenue	2,097,053	1,933,347	1,807,159
Product lifecycle management (PLM)
Revenue from External Customer [Line Items]
Total revenue	1,330,316	1,137,016	1,012,120
Computer-aided design (CAD)
Revenue from External Customer [Line Items]
Total revenue	$ 766,737	$ 796,331	$ 795,039