Acquisitions and Disposition of Businesses - Additional Information (Details) $ in Thousands						6 Months Ended		12 Months Ended
	Oct. 04, 2023 USD ($) Employees	Oct. 02, 2023 USD ($)	Jan. 03, 2023 USD ($) Employees	Jun. 01, 2022 USD ($) Employees	Apr. 29, 2022 USD ($) Employees	Sep. 30, 2023 USD ($)	Mar. 31, 2023 USD ($)	Sep. 30, 2024 USD ($)	Sep. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)
Business Acquisition [Line Items]
Business combination, acquisition and transaction related costs								$ 3,100	$ 18,700	$ 13,200
Borrowings under credit facility								1,084,845	1,540,000	264,000
Revenue								$ 2,298,472	2,097,053	1,933,347
Acquired finite-lived intangible asset, weighted average useful life								15 years
Goodwill						$ 3,358,511		$ 3,461,891	3,358,511	2,353,654
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
Goodwill	$ 77,118
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
Goodwill			$ 974,850
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
Intland Software
Business Acquisition [Line Items]
Payments to acquire business, net of cash					$ 278,100
Borrowings under credit facility					$ 264,000
Number Of Employees | Employees					150
Goodwill					$ 240,971
Intland Software | Customer relationships
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life					11 years
Intland Software | Purchased Software
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life					10 years
Intland Software | Trademarks
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life					10 years
PLM Services Business Disposition
Business Acquisition [Line Items]
Number Of Employees | Employees				160
Liabilities				$ 2,400
Total consideration				60,400				$ 0	$ 0	$ 6,844
Cash Consideration				32,500
Gain On Sale				29,800
Net Assets				30,600
Goodwill				33,000
Contingent Consideration				20,000
PLM Services Business Disposition | Service To Be Performed [Member]
Business Acquisition [Line Items]
Non Cash Consideration				$ 28,000