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Schedule of Unrecognized Tax Benefit Reconciliation (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Reconciliation of Unrecognized Tax Benefits [Line Items]    
Beginning balance $ 30.22us-gaap_UnrecognizedTaxBenefits $ 24.94us-gaap_UnrecognizedTaxBenefits
Additions based on tax positions related to the current year 11.38us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions 8.51us-gaap_UnrecognizedTaxBenefitsIncreasesResultingFromCurrentPeriodTaxPositions
Reductions for tax positions of prior years 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions 0us-gaap_UnrecognizedTaxBenefitsDecreasesResultingFromPriorPeriodTaxPositions
Foreign currency translation effect (1.13)synt_UnrecognizedTaxBenefitsForeignCurrencyTranslationEffect (3.23)synt_UnrecognizedTaxBenefitsForeignCurrencyTranslationEffect
Ending balance 40.47us-gaap_UnrecognizedTaxBenefits 30.22us-gaap_UnrecognizedTaxBenefits
Income taxes paid, see below (35.86)synt_IncomeTaxesPaidAgainstLiabilitiesForUnrecognizedTaxBenefits (26.37)synt_IncomeTaxesPaidAgainstLiabilitiesForUnrecognizedTaxBenefits
Amounts, net of income taxes paid $ 4.61synt_UnrecognizedTaxBenefitsNetOfIncomeTaxesPaid $ 3.85synt_UnrecognizedTaxBenefitsNetOfIncomeTaxesPaid