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Business Combinations - Narrative (Details)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Oct. 05, 2021
USD ($)
Apr. 20, 2021
USD ($)
$ / shares
May 01, 2021
USD ($)
Jul. 30, 2022
USD ($)
Jan. 29, 2022
USD ($)
Business Acquisition [Line Items]          
Equity issuance costs     $ 8.2    
Inphi          
Business Acquisition [Line Items]          
Total purchase consideration   $ 9,917.5      
Consideration transferred, equity interests issued and issuable   $ 5,917.8      
Cash consideration (in dollars per share) | $ / shares   $ 66      
Number of common shares issued per acquiree share (in shares)   2.323      
Debt financing costs   $ 39.8      
Debt financing costs, current       $ 3.8  
Debt financing costs, noncurrent       26.5  
Equity issuance costs       8.2  
Adjustment to inventories       0.0  
Innovium          
Business Acquisition [Line Items]          
Total purchase consideration $ 1,004.2        
Consideration transferred, equity interests issued and issuable 994.2        
Fair value of previously held equity interest 10.0        
Acquisition related costs $ 11.9        
Adjustment to inventories       $ 23.1 $ 38.7
Selling, general and administrative | Inphi          
Business Acquisition [Line Items]          
Acquisition related costs   $ 50.8