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Acquisitions - Additional Information (Details) $ in Thousands				3 Months Ended	12 Months Ended
	Jan. 15, 2021 USD ($) Employee	Nov. 01, 2019 USD ($)	Nov. 19, 2018 USD ($) Employee	Sep. 30, 2020 USD ($) Employee	Dec. 31, 2021 USD ($)	Sep. 30, 2021 USD ($)	Sep. 30, 2020 USD ($) Employee	Sep. 30, 2019 USD ($)
Business Acquisition [Line Items]
Business combination, acquisition related costs						$ 15,000	$ 8,600	$ 3,100
Borrowings under credit facility						600,000	455,000	$ 205,000
Deferred tax liabilities				$ 12,431		4,165	12,431
Deferred revenue				416,804		482,131	416,804
Accounts receivable				415,221		$ 541,072	415,221
Customer Lists
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life						11 years
Purchased Software
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life						10 years
Trademarks
Business Acquisition [Line Items]
Acquired finite-lived intangible asset, weighted average useful life						12 years
Arena Solutions
Business Acquisition [Line Items]
Payments to acquire business, net of cash	$ 715,000
Cash acquired from acquisition	$ 11,100
Entity number of employees | Employee	170
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 | Forecast
Business Acquisition [Line Items]
Added revenue					$ 29,800
Fair value adjustments related to purchase accounting for acquisition					$ 9,100
Arena Solutions | Line of Credit
Business Acquisition [Line Items]
Borrowings under credit facility	$ 600,000
Onshape
Business Acquisition [Line Items]
Payments to acquire business, net of cash		$ 469,000
Cash acquired from acquisition		7,500
Goodwill, acquired		364,900					$ 364,910
Liabilities		4,100
Onshape | Customer Lists
Business Acquisition [Line Items]
Finite-lived intangible assets acquired		$ 56,800
Acquired finite-lived intangible asset, weighted average useful life		10 years
Onshape | Purchased Software
Business Acquisition [Line Items]
Finite-lived intangible assets acquired		$ 47,300
Acquired finite-lived intangible asset, weighted average useful life		16 years
Onshape | Trademarks
Business Acquisition [Line Items]
Finite-lived intangible assets acquired		$ 3,600
Acquired finite-lived intangible asset, weighted average useful life		15 years
Frustum
Business Acquisition [Line Items]
Payments to acquire business, net of cash			$ 69,500
Cash acquired from acquisition			$ 700
Entity number of employees | Employee			12
Goodwill, acquired			$ 53,700
Liabilities			$ 2,100
Acquired finite-lived intangible asset, weighted average useful life			15 years
Frustum | Purchased Software
Business Acquisition [Line Items]
Finite-lived intangible assets acquired			$ 17,900
Other Acquisitions
Business Acquisition [Line Items]
Payments to acquire business, net of cash				15,000
Cash acquired from acquisition				$ 100
Entity number of employees | Employee				20			20
Goodwill, acquired				$ 12,300		$ 581	$ 12,262
Liabilities				1,400			$ 1,400
Other Acquisitions | Customer Lists
Business Acquisition [Line Items]
Finite-lived intangible assets acquired				$ 700
Acquired finite-lived intangible asset, weighted average useful life				10 years
Other Acquisitions | Purchased Software
Business Acquisition [Line Items]
Finite-lived intangible assets acquired				$ 3,400
Acquired finite-lived intangible asset, weighted average useful life				7 years

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