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Property and Equipment - Additional Information (Detail) - USD ($) $ in Millions | 12 Months Ended
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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
Name: | syna_PropertyPlantAndEquipmentUsefulLifeAndValuesAbstract
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