Acquisitions and Disposition of Businesses - Additional Information (Details) $ in Thousands					3 Months Ended	6 Months Ended		12 Months Ended
	Oct. 04, 2023 USD ($) Employees	Oct. 02, 2023 USD ($)	Jan. 03, 2023 USD ($) Employees	Jun. 01, 2022 USD ($)	Jun. 30, 2025 USD ($)	Sep. 30, 2023 USD ($)	Mar. 31, 2023 USD ($)	Sep. 30, 2025 USD ($)	Sep. 30, 2024 USD ($)	Sep. 30, 2023 USD ($)
Business Acquisition [Line Items]
Business combination, acquisition and transaction related costs								$ 9,100	$ 3,100	$ 18,700
Borrowings under credit facility								860,000	1,084,845	1,540,000
Revenue								$ 2,739,226	$ 2,298,472	2,097,053
Acquired finite-lived intangible asset, weighted average useful life								16 years
Gain on achieving performance milestones with contingent consideration								$ 13,100
Customer relationships
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life								17 years
Purchased Software
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life								11 years
Trademarks
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life								11 years
Term Loan Facility
Business Acquisition [Line Items]
Borrowings under credit facility			$ 500,000
Pure Systems
Business Acquisition [Line Items]
Payments to acquire business, net of cash	$ 93,500
Number Of Employees | Employees	50
Pure Systems | Customer relationships
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life	18 years
Pure Systems | Purchased Software
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life	10 years
Pure Systems | Trademarks
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life	10 years
Servicemax acquisition
Business Acquisition [Line Items]
Payments to acquire business, net of cash			1,448,200
Deferred acquisition payments		$ 650,000	650,000							650,000
Preliminary purchase price			828,200
Payments to acquire business		620,000	$ 620,000
Number Of Employees | Employees			500
Revenue										$ 137,600
Increase in Goodwill						$ 300
Imputed interest payable		$ 30,000
Servicemax acquisition | Net Tax Liablity [Member]
Business Acquisition [Line Items]
Increase in net tax liability							$ 3,200
Servicemax acquisition | Customer relationships
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life			20 years
Increase in customer relationships							$ 3,500
Servicemax acquisition | Purchased Software
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life			10 years
Servicemax acquisition | Trademarks
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life			10 years
Servicemax acquisition | Revolving Credit Facility
Business Acquisition [Line Items]
Borrowings under credit facility			$ 630,000
Other Acquisitions
Business Acquisition [Line Items]
Payments to acquire business, net of cash					$ 7,900
Preliminary purchase price					6,500
Contingent consideration payable					$ 1,400
PLM Services Business Disposition
Business Acquisition [Line Items]
Total consideration				$ 60,400
Cash Consideration				32,500
Contingent Consideration				20,000
PLM Services Business Disposition | Service To Be Performed [Member]
Business Acquisition [Line Items]
Non Cash Consideration				$ 28,000