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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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