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Acquisitions - Schedule of Consideration and Net Assets Acquired (Details) - USD ($) $ in Thousands |  | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Jun. 17, 2021 | Sep. 30, 2021 | Sep. 30, 2020 | Sep. 30, 2021 | Sep. 30, 2020 | Dec. 31, 2020
Assets acquired and liabilities assumed: |  |  |  |  |  |
Goodwill |  | $ 1,592,399 |  | $ 1,592,399 |  | $ 581,174
Stock-based compensation expense |  | 11,752 | $ 20,405 | 32,853 | $ 23,617 |
Series of Individually Immaterial Business Acquisitions |  |  |  |  |  |
Business Combination, Separately Recognized Transactions [Line Items] |  |  |  |  |  |
Cash paid at closing |  |  |  | 1,071,532 |  | 98,298
Shares issued at closing |  |  |  | 182,390 |  | 0
Contingent consideration |  | 5,581 |  | 5,581 |  | 2,380
Deferred, non-contingent consideration, net |  | 10,081 |  | 10,081 |  | 1,416
Total consideration |  |  |  | 1,269,584 |  | 102,094
Assets acquired and liabilities assumed: |  |  |  |  |  |
Cash |  | 37,837 |  | 37,837 |  | 5,266
Prepaid and other current assets |  | 23,709 |  | 23,709 |  | 8,701
Operating lease right-of-use assets |  | 12,074 |  | 12,074 |  | 2,529
Property and equipment |  | 4,383 |  | 4,383 |  | 499
Investments |  | 0 |  | 0 |  | 0
Other assets |  | 874 |  | 874 |  | 36
Total identifiable assets acquired excluding goodwill |  | 315,268 |  | 315,268 |  | 34,762
Accruals and other current liabilities |  | (28,065) |  | (28,065) |  | (4,991)
Deferred revenues |  | (18,412) |  | (18,412) |  | (5,351)
Operating lease liabilities |  | (11,966) |  | (11,966) |  | (2,529)
Deferred income taxes |  | (48,374) |  | (48,374) |  | (1,701)
Other liabilities |  | (716) |  | (716) |  | (86)
Total liabilities assumed |  | (107,533) |  | (107,533) |  | (14,658)
Net identifiable assets acquired excluding goodwill |  | 207,735 |  | 207,735 |  | 20,104
Goodwill |  | 1,061,849 |  | 1,061,849 |  | 81,990
Net assets acquired |  | 1,269,584 |  | 1,269,584 |  | 102,094
Series of Individually Immaterial Business Acquisitions | Software and technology |  |  |  |  |  |
Assets acquired and liabilities assumed: |  |  |  |  |  |
Finite-lived intangibles |  | 45,753 |  | $ 45,753 |  | $ 2,207
Series of Individually Immaterial Business Acquisitions | Software and technology | Weighted Average |  |  |  |  |  |
Business Combination, Separately Recognized Transactions [Line Items] |  |  |  |  |  |
Acquired finite-lived intangible assets, weighted average useful life |  |  |  | 5 years |  | 3 years
Series of Individually Immaterial Business Acquisitions | Customer relationships |  |  |  |  |  |
Assets acquired and liabilities assumed: |  |  |  |  |  |
Finite-lived intangibles |  | 143,794 |  | $ 143,794 |  | $ 11,371
Series of Individually Immaterial Business Acquisitions | Customer relationships | Weighted Average |  |  |  |  |  |
Business Combination, Separately Recognized Transactions [Line Items] |  |  |  |  |  |
Acquired finite-lived intangible assets, weighted average useful life |  |  |  | 9 years |  | 6 years
Series of Individually Immaterial Business Acquisitions | Trademarks |  |  |  |  |  |
Assets acquired and liabilities assumed: |  |  |  |  |  |
Finite-lived intangibles |  | 42,444 |  | $ 42,444 |  | $ 3,953
Series of Individually Immaterial Business Acquisitions | Trademarks | Weighted Average |  |  |  |  |  |
Business Combination, Separately Recognized Transactions [Line Items] |  |  |  |  |  |
Acquired finite-lived intangible assets, weighted average useful life |  |  |  | 10 years |  | 7 years
Series of Individually Immaterial Business Acquisitions | Non-compete agreements |  |  |  |  |  |
Business Combination, Separately Recognized Transactions [Line Items] |  |  |  |  |  |
Acquired finite-lived intangible assets, weighted average useful life |  |  |  | 5 years |  |
Assets acquired and liabilities assumed: |  |  |  |  |  |
Finite-lived intangibles |  | 0 |  | $ 0 |  | $ 200
Series of Individually Immaterial Business Acquisitions | In-process research and development |  |  |  |  |  |
Assets acquired and liabilities assumed: |  |  |  |  |  |
Finite-lived intangibles |  | $ 4,400 |  | $ 4,400 |  | $ 0
Seequent |  |  |  |  |  |
Assets acquired and liabilities assumed: |  |  |  |  |  |
Award service period |  |  |  | 2 years |  |
Fair value adjustment of stock consideration |  |  |  | $ 16,943 |  |
Seequent | Common Class B Stock Subject to Service Conditions |  |  |  |  |  |
Assets acquired and liabilities assumed: |  |  |  |  |  |
Stock-based compensation expense |  |  |  | $ 5,452 |  |
Seequent | Class B Common Stock |  |  |  |  |  |
Assets acquired and liabilities assumed: |  |  |  |  |  |
Number of shares sold (in shares) | 3,141,342 |  |  |  |  |
Number of shares sold subject to employment service conditions (in shares) |  |  |  | 83,627 |  |

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