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Share-Based Compensation - Additional Information (Detail) (USD $) In Millions, except Share data, unless otherwise specified | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Dec. 31, 2014 | Dec. 31, 2014 | Dec. 26, 2014
Employee Stock Option [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Aggregate intrinsic value of stock option outstanding calculated using the closing price of common stock |  |  | $ 71.80 syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember
Deferred Stock Units Outstanding [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Aggregate intrinsic value of stock option outstanding calculated using the closing price of common stock |  |  | $ 71.80 syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice / us-gaap_AwardTypeAxis = syna_DeferredStockUnitsMember
Shares withheld to meet statutory minimum tax withholding requirements |  | 74,568 us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation / us-gaap_AwardTypeAxis = syna_DeferredStockUnitsMember |
Shares valued withheld to meet statutory minimum tax withholding requirements |  | $ 5.2 us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation / us-gaap_AwardTypeAxis = syna_DeferredStockUnitsMember |
Market Stock Units Outstanding [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Aggregate intrinsic value of stock option outstanding calculated using the closing price of common stock |  |  | $ 71.80 syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember
Shares withheld to meet statutory minimum tax withholding requirements |  | 47,883 us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember |
Shares valued withheld to meet statutory minimum tax withholding requirements |  | 3.0 us-gaap_AdjustmentsRelatedToTaxWithholdingForShareBasedCompensation / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember |
Vesting period, tranche one |  | 1 year |
Vesting period, tranche two |  | 2 years |
Vesting period, tranche three |  | 3 years |
Potential payout adjustment ratio |  | 2 syna_PotentialPayoutAdjustmentRatio / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember |
Unrecognized share-based compensation cost | $ 7.7 us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember | $ 7.7 us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember |
Unrecognized share-based compensation, period for recognition | 1 year 5 months 9 days |  |
Market Stock Units Outstanding [Member] | Minimum [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Potential payout range |  | 0.00%syna_PercentageOfPotentialPayout / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember / us-gaap_RangeAxis = us-gaap_MinimumMember |
Market Stock Units Outstanding [Member] | Maximum [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Potential payout range |  | 200.00%syna_PercentageOfPotentialPayout / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember / us-gaap_RangeAxis = us-gaap_MaximumMember |
Market Stock Units Outstanding [Member] | Maximum [Member] | Share-based Compensation Award, Tranche One [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Potential payout range |  | 100.00%syna_PercentageOfPotentialPayout / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember / us-gaap_RangeAxis = us-gaap_MaximumMember / us-gaap_VestingAxis = us-gaap_ShareBasedCompensationAwardTrancheOneMember |
Market Stock Units Outstanding [Member] | Maximum [Member] | Share-based Compensation Award, Tranche Two [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Potential payout range |  | 100.00%syna_PercentageOfPotentialPayout / us-gaap_AwardTypeAxis = syna_MarketStockUnitsMember / us-gaap_RangeAxis = us-gaap_MaximumMember / us-gaap_VestingAxis = us-gaap_ShareBasedCompensationAwardTrancheTwoMember |

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- Definition Percentage of potential payout. + References No definition available. + Details
Name: | syna_PercentageOfPotentialPayout
Namespace Prefix: | syna_
Data Type: | num:percentItemType
Balance Type: | na
Period Type: | duration

X
- Definition Potential payout adjustment ratio. + References No definition available. + Details
Name: | syna_PotentialPayoutAdjustmentRatio
Namespace Prefix: | syna_
Data Type: | xbrli:pureItemType
Balance Type: | na
Period Type: | duration

X
- Definition Share based compensation arrangement by share based payment award, award vesting period tranche one. + References No definition available. + Details
Name: | syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodTrancheOne
Namespace Prefix: | syna_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Share based compensation arrangement share based payment award, award vesting period tranche three. + References No definition available. + Details
Name: | syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodTrancheThree
Namespace Prefix: | syna_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

X
- Definition Share based compensation arrangement by share based payment award award vesting period tranche two. + References No definition available. + Details
Name: | syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingPeriodTrancheTwo
Namespace Prefix: | syna_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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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

X
- 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 Weighted average period over which unrecognized compensation is expected to be recognized for equity-based compensation plans, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (i) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
Name: | us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedPeriodForRecognition1
Namespace Prefix: | us-gaap_
Data Type: | xbrli:durationItemType
Balance Type: | na
Period Type: | duration

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- Definition Unrecognized cost of unvested share-based awards, other than options, awarded to employees as compensation. + References No definition available. + Details
Name: | us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- 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: |

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

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