Business Combinations - Purchase Price Allocation (Inphi) (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 29, 2022	Apr. 30, 2022	Jan. 29, 2022
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]
Goodwill		$ 11,539.0	$ 11,511.1
Inphi
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]
Cash and cash equivalents		72.3	72.3
Accounts receivable, net		99.7	99.7
Inventories		270.4	270.4
Prepaid expenses and other current assets		213.3	213.3
Property and equipment, net		98.5	98.5
Acquired intangible assets, net		4,420.0	4,420.0
Other non-current assets		96.6	98.8
Goodwill		5,688.4	5,686.2
Accounts payable and accrued liabilities		(189.8)	(189.8)
Convertible debt - short-term		(313.7)	(313.7)
Convertible debt - long-term		(240.3)	(240.3)
Other non-current liabilities		(297.9)	(297.9)
Total merger consideration		$ 9,917.5	$ 9,917.5
Measurement Period Adjustment
Cash and cash equivalents	$ 0.0
Accounts receivable, net	0.0
Inventories	0.0
Prepaid expenses and other current assets	0.0
Property and equipment, net	0.0
Acquired intangible assets, net	0.0
Other non-current assets	(2.2)
Goodwill	2.2
Accounts payable and accrued liabilities	0.0
Convertible debt - short-term	0.0
Convertible debt - long-term	0.0
Other non-current liabilities	0.0
Total merger consideration	$ 0.0