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Acquisitions - Additional Information (Detail) $ in Thousands |  |  |  |  |  |  |  |  | 2 Months Ended | 3 Months Ended | 4 Months Ended | 6 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
May 19, 2022 shares | Jan. 15, 2022 USD ($) | Oct. 26, 2021 USD ($) | Sep. 30, 2021 USD ($) shares | Jul. 16, 2021 USD ($) shares | Jun. 17, 2021 USD ($) shares | May 25, 2021 USD ($) shares | Apr. 29, 2021 USD ($) | Sep. 30, 2021 USD ($) shares | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Sep. 30, 2021 USD ($) shares | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | May 25, 2022 USD ($) | Apr. 29, 2022 USD ($) | Mar. 31, 2022 USD ($) | Jul. 31, 2021 € / shares
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Change in fair value of contingent consideration |  |  |  |  |  |  |  |  |  | $ 0 | [1] | $ (22,087) | [1] |  | $ 0 | [2] | $ (22,087) | [2] |  |  |  |
Revolving credit facility | Credit Agreement, BoA | Line of credit |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from line of credit |  | $ 179,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fyber |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Percentage of voting interests acquired |  |  |  |  |  |  | 95.10% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total consideration |  |  |  |  |  |  | $ 600,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire business |  |  |  |  |  |  | $ 124,336 |  |  |  |  |  |  | $ 150,000 |  |  |  |  |  |  |  |
Business acquisition, stock issued (in shares) | shares |  |  |  | 18,000 | 1,040,364 | 1,500,000 | 3,216,935 |  | 59,289 |  |  |  |  | 5,775,299 |  |  |  |  |  |  |  |
Business acquisition, value of stock issued |  |  |  |  | $ 64,253 | $ 92,640 | $ 198,678 |  | $ 3,662 |  |  |  |  | $ 359,233 |  |  |  |  |  |  |  |
Contingent consideration, revenue threshold, minimum |  |  |  |  |  |  | 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Estimated contingent consideration, maximum |  |  |  |  |  |  | $ 50,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, stock reduction (in shares) | shares |  |  |  | 41,289 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Change in fair value of contingent consideration |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ (50,000) |
Settlement of contingent consideration liability (in shares) | shares | 1,205,982 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Additional equity interest purchased |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 18,341 |
Cumulative voting interest acquired |  |  |  |  |  |  |  |  |  | 99.50% |  |  |  |  | 99.50% |  |  |  |  |  |  |
Goodwill adjustment |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ (2,572) |  |  |
Acquisition costs |  |  |  |  |  |  |  |  |  | $ 443 |  | 8,116 |  |  | $ 1,003 |  | 11,715 |  |  |  |  |
Fyber | Plan |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, stock issued (in shares) | shares |  |  |  |  |  |  |  |  |  |  |  |  |  | 5,816,588 |  |  |  |  |  |  |  |
Fyber | Minority Fyber Shareholders |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, per share price (in EUR per share) | € / shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | € 0.84
Fyber | Publisher relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  | 20 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fyber | Developed technology |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  | 7 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fyber | Trade names |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  | 7 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fyber | Customer relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  | 3 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
AdColony |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment to acquire business |  |  | $ 98,175 |  |  |  |  | $ 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Estimated contingent consideration, maximum |  |  |  |  |  |  |  | 225,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Change in fair value of contingent consideration |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 8,913 |  |  |  |  |
Goodwill adjustment |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ (3,502) |  |
Acquisition costs |  |  |  |  |  |  |  |  |  | $ 64 |  | 620 |  |  | $ 214 |  | 3,491 |  |  |  |  |
Acquisition purchase price liabilities, unpaid cash consideration |  |  |  |  |  |  |  | $ 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Acquisition purchase price liabilities, unpaid cash consideration, payment term |  |  |  |  |  |  |  | 6 months |  |  |  |  |  |  |  |  |  |  |  |  |  |
Estimated contingent consideration, minimum |  |  |  |  |  |  |  | $ 200,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration |  |  |  | $ 204,500 |  |  |  |  | $ 204,500 |  |  | $ 204,500 |  | $ 204,500 |  |  | $ 204,500 |  |  |  |  |
Payment for contingent consideration liability |  | $ 204,500 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
AdColony | Publisher relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  |  | 10 years |  |  |  |  |  |  |  |  |  |  |  |  |  |
AdColony | Developed technology |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  |  | 7 years |  |  |  |  |  |  |  |  |  |  |  |  |  |
AdColony | Trade names |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  |  | 7 years |  |  |  |  |  |  |  |  |  |  |  |  |  |
AdColony | Minimum |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total consideration |  |  |  |  |  |  |  | $ 400,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
AdColony | Minimum | Customer relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  |  | 8 years |  |  |  |  |  |  |  |  |  |  |  |  |  |
AdColony | Maximum |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Total consideration |  |  |  |  |  |  |  | $ 425,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
AdColony | Maximum | Customer relationships |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Intangible assets acquired, useful life |  |  |  |  |  |  |  | 15 years |  |  |  |  |  |  |  |  |  |  |  |  |  |
[1] | In the fiscal quarter ended June 30, 2021, the Company initiated two significant acquisitions. Please refer to Note 3 in the accompanying condensed consolidated financial statements.
[2] | In the fiscal quarter ended June 30, 2021, the Company initiated two significant acquisitions. Please refer to Note 3 in the accompanying condensed consolidated financial statements.

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- Definition Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (a)(3) -URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16265-109275 + Details
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