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Stockholders' Equity (Details 3) (Warrant [Member], USD $)
6 Months Ended
Dec. 31, 2014
Warrants Outstanding 305,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
Warrants Exercisable 305,000rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExercisable
Range One [Member]  
Warrant Exercise Price $ 1.19rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageExcercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeOneMember
Warrants Outstanding 150,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeOneMember
Warrants Outstanding Remaining Contractual Life (in years) 6 years 11 months 23 days
Warrants Exercisable 150,000rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExercisable
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeOneMember
Range Two [Member]  
Warrant Exercise Price $ 1.25rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageExcercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeTwoMember
Warrants Outstanding 150,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeTwoMember
Warrants Outstanding Remaining Contractual Life (in years) 10 months 6 days
Warrants Exercisable 150,000rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExercisable
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeTwoMember
Range Three [Member]  
Warrant Exercise Price $ 3.50rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageExcercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeThreeMember
Warrants Outstanding 2,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeThreeMember
Warrants Outstanding Remaining Contractual Life (in years) 1 year 6 months
Warrants Exercisable 2,500rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExercisable
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeThreeMember
Range Four [Member]  
Warrant Exercise Price $ 4.00rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageExcercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeFourMember
Warrants Outstanding 2,500us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeFourMember
Warrants Outstanding Remaining Contractual Life (in years) 1 year 6 months
Warrants Exercisable 2,500rsss_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsExercisable
/ us-gaap_AwardTypeAxis
= us-gaap_WarrantMember
/ us-gaap_RangeAxis
= rsss_RangeFourMember