Acquisitions and Divestitures - Additional Information (Details) - USD ($) $ in Thousands		3 Months Ended		6 Months Ended
	Nov. 05, 2025	Mar. 31, 2026	Mar. 31, 2025	Sep. 30, 2026	Mar. 31, 2026	Mar. 31, 2025
Business Acquisition [Line Items]
Business combination, acquisition and transaction related costs		$ 26,500	$ 600		$ 37,100	$ 800
Proceeds from divestitures		523,300
Gain on sale of business					464,602	0
Provision for income taxes		156,076	$ 42,605		192,533	$ 53,527
Forecast [Member]
Business Acquisition [Line Items]
Proceeds from divestitures				$ 7,500
Kepware and ThingWorx Divestiture
Business Acquisition [Line Items]
Payments to acquire business, net of cash	$ 530,800
Net assets		$ 68,200			68,200
Gain on sale of business					462,600
Provision for income taxes					$ 102,400
Kepware and ThingWorx Divestiture | Maximum
Business Acquisition [Line Items]
Contingent consideration	$ 125,000