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Share-Based Compensation - Deferred Stock Units - Additional Information (Detail) - Deferred stock units outstanding [Member] - USD ($) $ / shares in Units, $ in Millions	6 Months Ended
	Dec. 31, 2017	Dec. 29, 2017
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
Shares withheld to meet statutory tax withholding requirements	119,258
Shares valued withheld to meet statutory tax withholding requirements	$ 4.6

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- Definition

Share based compensation arrangement by share based payment award intrinsic value closing price.

+ References

No definition available.

+ Details

Name:	syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice
Namespace Prefix:	syna_
Data Type:	num:perShareItemType
Balance Type:	na
Period Type:	instant

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- Definition

The amount of adjustment to stockholders' equity associated with an employee's income tax withholding obligation as part of a net-share settlement of a share-based award.

+ References

No definition available.

+ Details

Name:	us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

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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

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

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- Definition

For net-share settlement of share-based awards when the employer settles employees' income tax withholding obligations, this element represents the number of shares the employees use to repay the employer.

+ References

No definition available.

+ Details

Name:	us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

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- Details

Name:	us-gaap_AwardTypeAxis=syna_DeferredStockUnitsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: