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Fair Value Measurements - Investment Impairments and Credit Loss Reserves (Details) - USD ($)	3 Months Ended
	May 02, 2021	May 01, 2022	Jan. 30, 2022
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Credit loss reserve for held-to-maturity debt securities and available for sale debt securities		$ 4,500,000	$ 4,500,000
Increase in credit loss reserve for available-for-sale and held-to-maturity debt securities	$ 200,000

X

- Definition

Debt Securities, Allowance For Credit Loss

+ References

No definition available.

+ Details

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Namespace Prefix:	smtc_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Debt Securities, Available-for-sale and Held To Maturity, Allowance for Credit Loss, Period Increase (Decrease)

+ References

No definition available.

+ Details

Name:	smtc_DebtSecuritiesAvailableForSaleAndHeldToMaturityAllowanceForCreditLossPeriodIncreaseDecrease
Namespace Prefix:	smtc_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

Name:	us-gaap_NewAccountingPronouncementsOrChangeInAccountingPrincipleLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration