Revenue from Contracts with Customers - Summary of Revenue and Profit Attributable to Product Groups (Details) - USD ($) $ in Thousands	3 Months Ended	9 Months Ended
Jun. 30, 2025	Jun. 30, 2024	Jun. 30, 2025	Jun. 30, 2024
Revenue from External Customer [Line Items]
Total revenue	$ 643,937	$ 518,639	$ 1,845,431	$ 1,671,925
Product lifecycle management (PLM)
Revenue from External Customer [Line Items]
Total revenue	403,722	329,529	1,153,331	1,051,671
Computer-aided design (CAD)
Revenue from External Customer [Line Items]
Total revenue	$ 240,215	$ 189,110	$ 692,100	$ 620,254

Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise.

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+ Details