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Acquisitions - Additional Information (Details) $ in Thousands |  |  | 3 Months Ended | 9 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | --- | ---
Jan. 15, 2021 USD ($) Employee | Nov. 01, 2019 USD ($) Employee | Jun. 30, 2021 USD ($) | Jun. 27, 2020 USD ($) | Jun. 30, 2021 USD ($) | Jun. 27, 2020 USD ($) | Dec. 31, 2021 USD ($) | Sep. 30, 2020 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |  |  |
Business combination, acquisition related costs |  |  | $ 600 | $ 700 | $ 14,800 | $ 8,100 |  |
Borrowings under credit facility |  |  |  |  | 600,000 | $ 455,000 |  |
Deferred tax liabilities |  |  | 11,541 |  | 11,541 |  |  | $ 12,431
Deferred revenue |  |  | 460,836 |  | 460,836 |  |  | 416,804
Accounts receivable |  |  | $ 432,980 |  | 432,980 |  |  | $ 415,221
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 |  |  |  | $ 562,838 |  |  |
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] |  |  |  |  |  |  |  |
Expected revenue |  |  |  |  |  |  | $ 30,000 |
Fair value adjustments related to purchase accounting for acquisition |  |  |  |  |  |  | $ 10,000 |
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 |  |  |  |  |  |
Entity number of employees | Employee |  | 110 |  |  |  |  |  |
Goodwill, acquired |  | $ 364,900 |  |  |  |  |  |
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 |  |  |  |  |  |

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