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Property and Equipment - Additional Information (Detail) - USD ($) $ in Millions	12 Months Ended
	Jun. 26, 2021	Jun. 27, 2020
Property Plant And Equipment Useful Life And Values [Abstract]
Retirement of fully amortized property	$ 19.8	$ 16.6

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- Definition

Property plant and equipment useful life and values.

+ References

No definition available.

+ Details

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Namespace Prefix:	syna_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

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- Definition

Amount of divestiture of long-lived, physical assets used in the normal conduct of business and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, furniture and fixtures, and computer equipment.

+ References

No definition available.

+ Details

Name:	us-gaap_PropertyPlantAndEquipmentDisposals
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration