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Property and Equipment - Additional Information (Detail)	12 Months Ended
	Jun. 29, 2024
Machinery and Equipment [Member]
Property Plant And Equipment [Line Items]
Construction in progress	12 months

X

- Definition

Construction in progress

+ References

No definition available.

+ Details

Name:	syna_ConstructionInProgress
Namespace Prefix:	syna_
Data Type:	xbrli:durationItemType
Balance Type:	na
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_PropertyPlantAndEquipmentLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Details

Name:	us-gaap_PropertyPlantAndEquipmentByTypeAxis=us-gaap_MachineryAndEquipmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: