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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     $ 71.80syna_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     $ 71.80syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice
/ us-gaap_AwardTypeAxis
= syna_DeferredStockUnitsMember
Shares withheld to meet statutory minimum tax withholding requirements   74,568us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= syna_DeferredStockUnitsMember
 
Shares valued withheld to meet statutory minimum tax withholding requirements   $ 5.2us-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     $ 71.80syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice
/ us-gaap_AwardTypeAxis
= syna_MarketStockUnitsMember
Shares withheld to meet statutory minimum tax withholding requirements   47,883us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= syna_MarketStockUnitsMember
 
Shares valued withheld to meet statutory minimum tax withholding requirements   3.0us-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   2syna_PotentialPayoutAdjustmentRatio
/ us-gaap_AwardTypeAxis
= syna_MarketStockUnitsMember
 
Unrecognized share-based compensation cost $ 7.7us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= syna_MarketStockUnitsMember
$ 7.7us-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