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Acquisition-Related Intangible Assets, Net - Schedule of Acquired Assets (Detail) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Oct. 31, 2021 | Oct. 31, 2020 | Oct. 31, 2021 | Oct. 31, 2020 | Jan. 31, 2021
Acquisition-related intangible assets |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets, gross | $ 644,900 |  | $ 644,900 |  | $ 464,400
Less accumulated amortization | (273,242) |  | (273,242) |  | (215,774)
Total | 371,658 |  | 371,658 |  | 248,626
Amortization of intangible assets | 19,000 | $ 14,000 | 57,000 | $ 46,000 |
Developed technology |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets, gross | 319,300 |  | 319,300 |  | 218,400
Customer relationships |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets, gross | 298,100 |  | 298,100 |  | 223,000
Trade name |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets, gross | 12,500 |  | 12,500 |  | 12,000
Backlog |  |  |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |
Intangible assets, gross | $ 15,000 |  | $ 15,000 |  | $ 11,000

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