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Goodwill and Acquired Intangible Assets, Net - Net Carrying Amounts and Weighted Average Amortization Period (Details) - USD ($) $ in Millions	9 Months Ended	12 Months Ended
	Oct. 29, 2022	Jan. 29, 2022
Acquired Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amounts	$ 7,225.0	$ 7,071.1
Accumulated Amortization	(2,653.4)	(1,946.7)
Net Carrying Amounts	4,571.6	5,124.4
Gross Carrying Amounts, Total acquired intangible assets	8,026.0	8,100.1
Net Carrying Amounts, Total acquired intangible assets	$ 5,372.6	$ 6,153.4
Weighted-Average Remaining Amortization Period (Years)	4 years 7 months 20 days	5 years 2 months 1 day
Developed technologies
Acquired Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amounts	$ 4,980.0	$ 4,744.1
Accumulated Amortization	(1,855.7)	(1,333.7)
Net Carrying Amounts	$ 3,124.3	$ 3,410.4
Weighted-Average Remaining Amortization Period (Years)	4 years 8 months 23 days	5 years 2 months 1 day
Customer contracts and related relationships
Acquired Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amounts	$ 2,179.0	$ 2,184.0
Accumulated Amortization	(768.6)	(519.6)
Net Carrying Amounts	$ 1,410.4	$ 1,664.4
Weighted-Average Remaining Amortization Period (Years)	4 years 5 months 23 days	5 years 2 months 15 days
Trade names
Acquired Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amounts	$ 66.0	$ 73.0
Accumulated Amortization	(29.1)	(26.2)
Net Carrying Amounts	$ 36.9	$ 46.8
Weighted-Average Remaining Amortization Period (Years)	3 years 3 months 21 days	3 years 11 months 12 days
Order backlog
Acquired Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amounts		$ 70.0
Accumulated Amortization		(67.2)
Net Carrying Amounts		$ 2.8
Weighted-Average Remaining Amortization Period (Years)		10 days
IPR&D
Acquired Finite-Lived Intangible Assets [Line Items]
Indefinite-lived intangible assets (excluding goodwill)	$ 801.0	$ 1,029.0

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