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Segment, Customers, and Geographic Information - Major Customers' as Percentage of Net Revenue (Parenthetical) (Detail) (Customer Concentration Risk [Member], Sales Revenue, Net [Member])
3 Months Ended 9 Months Ended 3 Months Ended 9 Months Ended
Mar. 31, 2015
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2014
Customer A [Member]
       
Revenue, Major Customer [Line Items]        
Concentration Risk, Percentage 18.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerAMember
16.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerAMember
   
Customer C [Member]
       
Revenue, Major Customer [Line Items]        
Concentration Risk, Percentage 18.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerCMember
11.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerCMember
   
Customer D [Member]
       
Revenue, Major Customer [Line Items]        
Concentration Risk, Percentage 11.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerDMember
     
Maximum [Member] | Customer A [Member]
       
Revenue, Major Customer [Line Items]        
Concentration Risk, Percentage     10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerAMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerAMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
Maximum [Member] | Customer C [Member]
       
Revenue, Major Customer [Line Items]        
Concentration Risk, Percentage     10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerCMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerCMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
Maximum [Member] | Customer D [Member]
       
Revenue, Major Customer [Line Items]        
Concentration Risk, Percentage   10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerDMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerDMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
10.00%us-gaap_ConcentrationRiskPercentage1
/ us-gaap_ConcentrationRiskByBenchmarkAxis
= us-gaap_SalesRevenueNetMember
/ us-gaap_ConcentrationRiskByTypeAxis
= us-gaap_CustomerConcentrationRiskMember
/ us-gaap_MajorCustomersAxis
= syna_CustomerDMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember