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Income Taxes - Additional Information (Detail) (USD $)	3 Months Ended		6 Months Ended
	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2014	Dec. 31, 2013	Jun. 30, 2014
Income Tax Disclosure [Abstract]
Effective tax rate	39.00%us-gaap_EffectiveIncomeTaxRateContinuingOperations	27.20%us-gaap_EffectiveIncomeTaxRateContinuingOperations
Provision for income taxes	$ 7,783,000us-gaap_IncomeTaxExpenseBenefit	$ 5,215,000us-gaap_IncomeTaxExpenseBenefit	$ 18,052,000us-gaap_IncomeTaxExpenseBenefit	$ 17,895,000us-gaap_IncomeTaxExpenseBenefit
Gross unrecognized tax benefits	11,600,000us-gaap_UnrecognizedTaxBenefits		11,600,000us-gaap_UnrecognizedTaxBenefits		10,200,000us-gaap_UnrecognizedTaxBenefits
Gross unrecognized tax benefits increased during the year			1,400,000us-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			$ 116,000syna_IncreaseInUnrecognizedTaxBenefitsIncomeTaxPenaltiesAndInterestAccrued

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Increase in unrecognized tax benefits income tax penalties and interest accrued.

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

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Amount of unrecognized tax benefits pertaining to uncertain tax positions taken in tax returns.

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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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The net amount of all increases and decreases in unrecognized tax benefits for the period.

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