Income Taxes - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions	1 Months Ended	3 Months Ended	12 Months Ended
	Jul. 31, 1999	Apr. 30, 2022	Jan. 28, 2023	Jan. 29, 2022	Jan. 30, 2021
Income Taxes [Line Items]
Decrease in valuation					$ 41.7
Unrecognized tax benefit that would affect the effective income tax rate if recognized			$ 216.7
Unrecognized tax benefits, decrease			16.5
Unrecognized tax benefits offset by deferred tax assets			297.2	$ 296.7	221.7
Unrecognized tax benefit, interest and penalties accrued			3.2	3.9	4.0
Interest and penalties related to unrecognized tax benefits included in consolidated statements of operation			1.6	0.6	1.0
Uncertain tax positions decrease from the lapse of the statutes of limitation in various jurisdictions during the next 12 months			1.9
Change in deferred tax asset valuation, amount			(73.8)	$ 62.7	$ 49.3
Cash, cash equivalents and short-term investments			911.0
Unrecognized deferred tax liability on undistributed earnings of foreign subsidiaries			433.9
Foreign Subsidiaries
Income Taxes [Line Items]
Cash, cash equivalents and short-term investments			642.0
Federal
Income Taxes [Line Items]
Net operating loss carryforwards			846.8
Federal | Research Tax Credit
Income Taxes [Line Items]
Tax credit carryforwards			470.6
State | California
Income Taxes [Line Items]
Net operating loss carryforwards			840.5
State | California | Research Tax Credit
Income Taxes [Line Items]
Tax credit carryforwards			652.5
State | Other State
Income Taxes [Line Items]
Net operating loss carryforwards			212.5
State | Other State | Research and Investment Tax Credit
Income Taxes [Line Items]
Tax credit carryforwards			33.2
Foreign
Income Taxes [Line Items]
Net operating loss carryforwards			56.3
Foreign | Research Tax Credit
Income Taxes [Line Items]
Tax credit carryforwards			12.6
Office of the Tax Commissioner, Bermuda
Income Taxes [Line Items]
Applicable statutory rate				21.00%	0.00%
Economic Development Board of Singapore Pioneer Status
Income Taxes [Line Items]
Expiration of tax exemption, period	10 years
Extended term, period		5 years
Deferred tax asset, decrease due to remeasurement			$ 213.6
Tax holidays, tax savings amount				$ 11.8
Tax holidays, per share effect on earnings (in dollars per share)				$ 0.01
Internal Revenue Service (IRS)
Income Taxes [Line Items]
Applicable statutory rate			21.00%
Israeli Encouragement of Investments Law Special Technology Enterprise Regime
Income Taxes [Line Items]
Tax holidays, tax savings amount			$ 11.2
Tax holidays, per share effect on earnings (in dollars per share)			$ 0.01