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Business Combinations - Purchase Price Allocation (Inphi) (Details) - USD ($)
$ in Millions
 9 Months Ended
Oct. 29, 2022
Jan. 29, 2022
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]    
Goodwill $ 11,579.0 $ 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