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Summary of Significant Accounting Policies (Details 2)
6 Months Ended 12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Jun. 30, 2014
Jun. 30, 2013
Euro To US Dollar [Member]        
Period end exchange rate 1.22us-gaap_ForeignCurrencyExchangeRateTranslation1
/ us-gaap_TradingActivityByTypeAxis
= rsss_EurotousdollarMember
1.38us-gaap_ForeignCurrencyExchangeRateTranslation1
/ us-gaap_TradingActivityByTypeAxis
= rsss_EurotousdollarMember
1.36us-gaap_ForeignCurrencyExchangeRateTranslation1
/ us-gaap_TradingActivityByTypeAxis
= rsss_EurotousdollarMember
1.30us-gaap_ForeignCurrencyExchangeRateTranslation1
/ us-gaap_TradingActivityByTypeAxis
= rsss_EurotousdollarMember
Average period exchange rate 1.29rsss_AveragePeriodForeignCurrencyExchangeRateTransalation
/ us-gaap_TradingActivityByTypeAxis
= rsss_EurotousdollarMember
1.34rsss_AveragePeriodForeignCurrencyExchangeRateTransalation
/ us-gaap_TradingActivityByTypeAxis
= rsss_EurotousdollarMember
1.36rsss_AveragePeriodForeignCurrencyExchangeRateTransalation
/ us-gaap_TradingActivityByTypeAxis
= rsss_EurotousdollarMember
1.29rsss_AveragePeriodForeignCurrencyExchangeRateTransalation
/ us-gaap_TradingActivityByTypeAxis
= rsss_EurotousdollarMember
Mexian Peso To US Dollar [Member]        
Period end exchange rate 0.07us-gaap_ForeignCurrencyExchangeRateTranslation1
/ us-gaap_TradingActivityByTypeAxis
= rsss_MexianpesotousdollarMember
0.08us-gaap_ForeignCurrencyExchangeRateTranslation1
/ us-gaap_TradingActivityByTypeAxis
= rsss_MexianpesotousdollarMember
0.08us-gaap_ForeignCurrencyExchangeRateTranslation1
/ us-gaap_TradingActivityByTypeAxis
= rsss_MexianpesotousdollarMember
0.08us-gaap_ForeignCurrencyExchangeRateTranslation1
/ us-gaap_TradingActivityByTypeAxis
= rsss_MexianpesotousdollarMember
Average period exchange rate 0.07rsss_AveragePeriodForeignCurrencyExchangeRateTransalation
/ us-gaap_TradingActivityByTypeAxis
= rsss_MexianpesotousdollarMember
0.08rsss_AveragePeriodForeignCurrencyExchangeRateTransalation
/ us-gaap_TradingActivityByTypeAxis
= rsss_MexianpesotousdollarMember
0.08rsss_AveragePeriodForeignCurrencyExchangeRateTransalation
/ us-gaap_TradingActivityByTypeAxis
= rsss_MexianpesotousdollarMember
0.08rsss_AveragePeriodForeignCurrencyExchangeRateTransalation
/ us-gaap_TradingActivityByTypeAxis
= rsss_MexianpesotousdollarMember