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Basic and Diluted Net IncomePer Share Anti-Dilutive Securities (Details)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Stock options 2,841,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber 3,465,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber 2,555,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 2,841,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber 3,465,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber  
Total equity award shares excluded 3,209,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 3,993,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 3,082,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
Semi-annual Performance Period, Maximum Multiplier of Original Grant 2.75rsys_SemiannualPerformancePeriodMaximumMultiplierofOriginalGrant    
Entire Performance, Overall Achievement, Maximum Multiplier of Target Award 2.5rsys_EntirePerformanceOverallAchievementMaximumMultiplierofTargetAward    
Convertible Debt Securities [Member]      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Total equity award shares excluded 2,110,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
2,110,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
3,517,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
Convertible Debt Securities [Member] | 2013 Convertible Senior Notes [Member]      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Total equity award shares excluded 0us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
/ us-gaap_DebtInstrumentAxis
= rsys_A2013ConvertibleSeniorNotesMember
0us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
/ us-gaap_DebtInstrumentAxis
= rsys_A2013ConvertibleSeniorNotesMember
2,450,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
/ us-gaap_DebtInstrumentAxis
= rsys_A2013ConvertibleSeniorNotesMember
Convertible Debt Securities [Member] | 2015 Convertible Senior Notes      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Total equity award shares excluded 2,110,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
/ us-gaap_DebtInstrumentAxis
= rsys_A2015ConvertibleSeniorNotesMember
2,110,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
/ us-gaap_DebtInstrumentAxis
= rsys_A2015ConvertibleSeniorNotesMember
1,067,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
/ us-gaap_DebtInstrumentAxis
= rsys_A2015ConvertibleSeniorNotesMember
Restricted Stock [Member]      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 128,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_RestrictedStockMember
335,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_RestrictedStockMember
527,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_RestrictedStockMember
Performance Shares [Member]      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 240,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_PerformanceSharesMember
193,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_PerformanceSharesMember
0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_PerformanceSharesMember
Long-term Incentive Plan [Member]      
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized 600,000.0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= rsys_LongTermIncentivePlanMember
500,000.0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_PlanNameAxis
= rsys_LongTermIncentivePlanMember