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Employee Benefit Plans (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 28, 2025	Jun. 29, 2024	Jun. 24, 2023
Retirement Benefits [Abstract]
Percentage of maximum employer matching contribution to defined contribution plans	25.00%
Contributions by employer matching contributions	$ 1.8	$ 1.9	$ 1.9

X

- Definition

Contributions by employer matching contributions.

+ References

No definition available.

+ Details

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

X

- References

No definition available.

+ Details

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

X

- Definition

Percentage employer matches of the employee's percentage contribution matched.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration