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Segment Information - Product Revenues by Systems and Software (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Schedule of Product Information [Line Items]
Net revenues	$ 3,088,072	$ 2,816,120	$ 2,813,169
Product [Member]
Schedule of Product Information [Line Items]
Net revenues	1,508,640	1,272,795	1,334,638
Systems | Product [Member]
Schedule of Product Information [Line Items]
Net revenues	705,551	537,318	670,652
Software | Product [Member]
Schedule of Product Information [Line Items]
Net revenues	$ 803,089	$ 735,477	$ 663,986

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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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