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Income Taxes - Additional Information (Detail) (USD $)	3 Months Ended		9 Months Ended
	Mar. 31, 2015	Mar. 31, 2014	Mar. 31, 2015	Mar. 31, 2014	Jun. 30, 2014
Income Tax [Line Items]
Effective tax rate	41.20%us-gaap_EffectiveIncomeTaxRateContinuingOperations	29.30%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Gross unrecognized tax benefits	$ 11,900,000us-gaap_UnrecognizedTaxBenefits		$ 11,900,000us-gaap_UnrecognizedTaxBenefits		$ 10,200,000us-gaap_UnrecognizedTaxBenefits
Gross unrecognized tax benefits increased during the year			1,700,000us-gaap_UnrecognizedTaxBenefitsPeriodIncreaseDecrease
Interest and penalties accrued related to unrecognized tax benefits	1,100,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued		1,100,000us-gaap_UnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued
Increase in interest and penalties accrued related to unrecognized tax benefits	200,000syna_IncreaseInUnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued
Provision for income taxes	$ 19,407,000us-gaap_IncomeTaxExpenseBenefit	$ 4,429,000us-gaap_IncomeTaxExpenseBenefit	$ 38,000,000us-gaap_IncomeTaxExpenseBenefit	$ 22,324,000us-gaap_IncomeTaxExpenseBenefit
Japan [Member]
Income Tax [Line Items]
Effective tax rate	35.60%us-gaap_EffectiveIncomeTaxRateContinuingOperations / us-gaap_StatementGeographicalAxis = country_JP
Expected reduction of corporate income tax	3.29%syna_ExpectedReductionInIncomeTaxRatePercent / us-gaap_StatementGeographicalAxis = country_JP
Expected national and local effective tax rate percentage	32.30%syna_ExpectedEffectiveIncomeTaxRateContinuingOperations / us-gaap_StatementGeographicalAxis = country_JP

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Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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Amount accrued for interest on an underpayment of income taxes and penalties related to a tax position claimed or expected to be claimed in the tax return.

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