Acquisitions and Disposition of Business - Additional Information (Details) $ in Thousands				3 Months Ended	12 Months Ended
	Jun. 01, 2022 USD ($) Employees	Apr. 29, 2022 USD ($) Employees	Jan. 15, 2021 USD ($) Employees	Dec. 31, 2021 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Sep. 30, 2020 USD ($)
Business Acquisition [Line Items]
Business combination, acquisition and transaction related costs					$ 13,200	$ 15,000	$ 8,600
Borrowings under credit facility					264,000	600,000	455,000
Revenue					1,933,347	1,807,159	1,458,415
Deferred tax liabilities					28,396	4,165
Deferred revenue					503,781	482,131
Income taxes payable					17,300	15,700
Accounts receivable					636,556	541,072
Payments to acquire business, net of cash acquired					282,943	718,030	483,478
Goodwill					$ 2,353,654	$ 2,191,887	1,625,786
Customer Lists
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life					11 years	11 years
Purchased Software
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life					11 years	11 years
Trademarks
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life					12 years	12 years
Arena Solutions
Business Acquisition [Line Items]
Payments to acquire business			$ 715,000
Cash acquired from acquisition			$ 11,100
Number Of Employees | Employees			170
Revenue				$ 29,800
Fair value adjustments related to purchase accounting for acquisition				$ 9,100
Goodwill, acquired			$ 562,800
Deferred tax liabilities			41,300
Deferred revenue			15,500
Accounts receivable			11,400
Liabilities			400
Arena Solutions | Customer Lists
Business Acquisition [Line Items]
Finite-lived intangible assets acquired			$ 155,000
Acquired finite-lived intangible asset, weighted average useful life			13 years
Arena Solutions | Purchased Software
Business Acquisition [Line Items]
Finite-lived intangible assets acquired			$ 38,300
Acquired finite-lived intangible asset, weighted average useful life			9 years
Arena Solutions | Trademarks
Business Acquisition [Line Items]
Finite-lived intangible assets acquired			$ 4,200
Acquired finite-lived intangible asset, weighted average useful life			12 years
Arena Solutions | Line of Credit
Business Acquisition [Line Items]
Borrowings under credit facility			$ 600,000
PLM Services Business Disposition
Business Acquisition [Line Items]
Number Of Employees | Employees	160
Liabilities	$ 2,400
Total consideration	60,400				$ 6,844	$ 0	$ 0
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
Other Acquisitions
Business Acquisition [Line Items]
Goodwill, acquired					691	$ 581
Intland Software
Business Acquisition [Line Items]
Payments to acquire business		$ 278,100
Borrowings under credit facility		$ 264,000
Number Of Employees | Employees		150
Goodwill, acquired		$ 240,900			240,971
Deferred tax liabilities		20,100
Deferred revenue		6,900
Income taxes payable		700
Accounts receivable		6,500
Liabilities		800
Increase in Goodwill					900
Increase in goodwill by Working capital adjustments					$ 240,000
Intland Software | Customer Lists
Business Acquisition [Line Items]
Finite-lived intangible assets acquired		$ 38,800
Acquired finite-lived intangible asset, weighted average useful life		11 years
Intland Software | Purchased Software
Business Acquisition [Line Items]
Finite-lived intangible assets acquired		$ 19,100
Acquired finite-lived intangible asset, weighted average useful life		10 years
Intland Software | Trademarks
Business Acquisition [Line Items]
Finite-lived intangible assets acquired		$ 1,300
Acquired finite-lived intangible asset, weighted average useful life		10 years