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Indemnifications and Contingencies (Additional Information) (Details) $ in Millions	3 Months Ended
	Jun. 24, 2023 USD ($)
Commitments and Contingencies Disclosure [Abstract]
Accrued Amount In Contractual Dispute	$ 4.0

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- Definition

Accrued Amount In Contractual Dispute

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No definition available.

+ Details

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Namespace Prefix:	syna_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

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- References

No definition available.

+ Details

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