Revenue from Contracts with Customers - Summary of Revenue and Profit Attributable to Product Groups (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2025	Mar. 31, 2024	Mar. 31, 2025	Mar. 31, 2024
Revenue from External Customer [Line Items]
Total revenue	$ 636,366	$ 603,072	$ 1,201,494	$ 1,153,286
Product lifecycle management (PLM)
Revenue from External Customer [Line Items]
Total revenue	396,149	373,495	749,608	722,142
Computer-aided design (CAD)
Revenue from External Customer [Line Items]
Total revenue	$ 240,217	$ 229,577	$ 451,886	$ 431,144