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Fair Value - Additional Information (Detail) (USD $)
3 Months Ended 6 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Fair Value Disclosures [Line Items]        
Transfer amount of assets or liabilities of level one $ 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelOne $ 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelOne $ 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelOne $ 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelOne
Transfer amount of assets or liabilities of level two 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelTwo 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelTwo 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelTwo 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelTwo
Transfer amount of assets or liabilities of level three 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelThree 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelThree 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelThree 0syna_FairValueMeasurementsTransfersIntoOrOutOfLevelThree
Validity Sensors, Inc [Member]        
Fair Value Disclosures [Line Items]        
Additional consideration 130,900,000us-gaap_BusinessCombinationContingentConsiderationArrangementsRangeOfOutcomesValueHigh
/ us-gaap_BusinessAcquisitionAxis
= syna_ValiditySensorsIncMember
  130,900,000us-gaap_BusinessCombinationContingentConsiderationArrangementsRangeOfOutcomesValueHigh
/ us-gaap_BusinessAcquisitionAxis
= syna_ValiditySensorsIncMember
 
Pacinian [Member]        
Fair Value Disclosures [Line Items]        
Additional consideration paid to former stockholders based on sales of products, due 10,000,000syna_BusinessCombinationContingentConsiderationArrangementsContingentConsiderationObligationToFormerShareholdersOfAcquiree
/ us-gaap_BusinessAcquisitionAxis
= syna_PacinianMember
  10,000,000syna_BusinessCombinationContingentConsiderationArrangementsContingentConsiderationObligationToFormerShareholdersOfAcquiree
/ us-gaap_BusinessAcquisitionAxis
= syna_PacinianMember
 
Prepaid Expenses and Other Current Assets [Member] | Auction Rate Securities [Member]        
Fair Value Disclosures [Line Items]        
Current Portion of Investments $ 600,000us-gaap_AvailableForSaleSecuritiesDebtSecuritiesCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AuctionRateSecuritiesMember
  $ 600,000us-gaap_AvailableForSaleSecuritiesDebtSecuritiesCurrent
/ us-gaap_BalanceSheetLocationAxis
= us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AuctionRateSecuritiesMember