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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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The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method.

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