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Income Taxes (Details) (USD $)
 3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Income Tax Disclosure [Abstract]      
Provision for income taxes $ 5,439,000us-gaap_IncomeTaxExpenseBenefit $ 5,472,000us-gaap_IncomeTaxExpenseBenefit  
Payment of withholding taxes to foreign tax authorities 4,800,000rmbs_ForeignWithholdingTaxes 5,100,000rmbs_ForeignWithholdingTaxes  
Deferred Tax Assets, Gross 189,100,000us-gaap_DeferredTaxAssetsGross    
Unrecognized tax benefits 21,400,000us-gaap_UnrecognizedTaxBenefits   19,900,000us-gaap_UnrecognizedTaxBenefits
Unrecognized tax benefits, reduction of long-term deferred tax assets 18,400,000rmbs_UnrecognizedTaxBenefitsDeferredTaxAssetsNoncurrentGross   17,800,000rmbs_UnrecognizedTaxBenefitsDeferredTaxAssetsNoncurrentGross
Unrecognized tax benefits included in long-term income taxes payable 3,000,000rmbs_UnrecognizedTaxBenefitsAccruedIncomeTaxesNoncurrent   2,100,000rmbs_UnrecognizedTaxBenefitsAccruedIncomeTaxesNoncurrent
Portion of unrecognized tax benefits, which if recognized, would be recorded as an income tax benefit $ 3,000,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate