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Non-current Other Assets - Additional Information (Detail) (USD $)
9 Months Ended
Mar. 31, 2015
Schedule of Available-for-sale Securities [Line Items]  
Proceeds from sales of non-current investments $ 4,900,000us-gaap_ProceedsFromSaleMaturityAndCollectionsOfInvestments
Auction Rate Securities with fair value maturing from 2016 to 2018 12,800,000syna_AuctionRateSecuritiesWithFairValueMaturingWithinSpecifiedPeriod
Auction Rate Securities with fair value having no stated maturity 2,800,000syna_AuctionRateSecuritiesWithFairValueHavingNoStatedMaturity
ARS investments, investment grade 600,000syna_AuctionRateSecuritiesAtInvestmentGrade
ARS investments, below investment grade 18,500,000syna_AuctionRateSecuritiesBelowInvestmentGrade
Minimum [Member]  
Schedule of Available-for-sale Securities [Line Items]  
Maturity period one 2016
Maximum [Member]  
Schedule of Available-for-sale Securities [Line Items]  
Maturity period one 2018
Auction Rate Securities [Member]  
Schedule of Available-for-sale Securities [Line Items]  
Proceeds from sales of non-current investments $ 4,900,000us-gaap_ProceedsFromSaleMaturityAndCollectionsOfInvestments
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_AuctionRateSecuritiesMember