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Stock Repurchase Program - Narrative (Details) - USD ($) $ in Millions	Mar. 11, 2021	Jul. 31, 2022
Equity [Abstract]
Additional stock repurchase amount authorized	$ 350.0
Shares repurchased to date, value		$ 589.0
Remaining authorization under stock repurchase program		$ 209.4

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- Definition

Stock Repurchase Program, Amount Repurchased To Date

+ References

No definition available.

+ Details

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X

- Definition

Stock Repurchase Program, Increase In Authorized Amount

+ References

No definition available.

+ Details

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

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- References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
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- Definition

Amount remaining of a stock repurchase plan authorized.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
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