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Business Combinations - Narrative (Details) $ / shares in Units, $ in Millions |  |  | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | ---
Oct. 05, 2021 USD ($) | Apr. 20, 2021 USD ($) $ / shares | May 01, 2021 USD ($) | Oct. 29, 2022 USD ($) | 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 |  |  |  | $ 3.4 |
Debt financing costs, noncurrent |  |  |  | 24.7 |
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 |  |  |  | $ 12.7 | $ 38.7
Selling, general and administrative | Inphi |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Acquisition related costs |  | $ 50.8 |  |  |

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- Definition Amount of decrease in additional paid in capital (APIC) resulting from direct costs associated with issuing stock. Includes, but is not limited to, legal and accounting fees and direct costs associated with stock issues under a shelf registration. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section 50 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21463-112644 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770 + Details
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- Definition Fair value at acquisition-date of the assets transferred by the acquirer, liabilities incurred by the acquirer, and equity interests issued by the acquirer, including but not limited to, instruments or interests issued or issuable in consideration for the business combination. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 30 -Section 50 -Paragraph 1 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126975305&loc=d3e6927-128479 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 805 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (g) -URI https://asc.fasb.org/extlink&oid=79982066&loc=d3e1392-128463 + Details
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