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Stock-Based Compensation (Regular RSU Activity) (Details) (Time-vested restricted stock units [Member])
12 Months Ended
Dec. 31, 2014
Time-vested restricted stock units [Member]
 
Summary of Regular RSU activity  
Outstanding at beginning of year (number of shares) 58,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= cuz_TimevestedrestrictedstockunitsMember
Granted, (number of shares) 57,246us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= cuz_TimevestedrestrictedstockunitsMember
Vested, (number of shares) (58,000)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= cuz_TimevestedrestrictedstockunitsMember
Outstanding at end of year (number of shares) 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= cuz_TimevestedrestrictedstockunitsMember