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Share-Based Compensation - Stock Options - Additional Information (Detail) | Dec. 29, 2017 $ / shares
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Stock option outstanding [Member] |
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |
Closing price of common stock used to calculate Aggregate intrinsic value of stock option outstanding | $ 39.94

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- Definition Share based compensation arrangement by share based payment award intrinsic value closing price. + References No definition available. + Details
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Namespace Prefix: | syna_
Data Type: | num:perShareItemType
Balance Type: | na
Period Type: | instant

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

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- Details
Name: | us-gaap_AwardTypeAxis=us-gaap_EmployeeStockOptionMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |