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Share-Based Compensation - Additional Information (Detail) (USD $)
In Millions, except Share data, unless otherwise specified
9 Months Ended
Mar. 31, 2015
Mar. 27, 2015
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   $ 83.67syna_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   $ 83.67syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice
/ us-gaap_AwardTypeAxis
= syna_DeferredStockUnitsMember
Shares withheld to meet statutory minimum tax withholding requirements 123,868us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation
/ us-gaap_AwardTypeAxis
= syna_DeferredStockUnitsMember
 
Shares valued withheld to meet statutory minimum tax withholding requirements $ 9.1us-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   $ 83.67syna_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
 
Potential payout adjustment ratio 200.00%syna_PotentialPayoutAdjustmentRatio
/ us-gaap_AwardTypeAxis
= syna_MarketStockUnitsMember
 
Unrecognized share-based compensation cost $ 6.7us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= syna_MarketStockUnitsMember
 
Unrecognized share-based compensation, period for recognition 1 year 2 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] | Share-based Compensation Award, Tranche One [Member]    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]    
Vesting period, tranche 1 year  
Market Stock Units Outstanding [Member] | Share-based Compensation Award, Tranche One [Member] | Maximum [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] | Share-based Compensation Award, Tranche Two [Member]    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]    
Vesting period, tranche 2 years  
Market Stock Units Outstanding [Member] | Share-based Compensation Award, Tranche Two [Member] | Maximum [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
 
Market Stock Units Outstanding [Member] | Share-based Compensation Award, Tranche Three [Member]    
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]    
Vesting period, tranche 3 years