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Partners' Capital, Equity and Incentive Compensation Plans (Summary of Assumptions and Fair Values for Restricted Stock and Options to Purchase Shares of Class A Common Stock Granted) (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of restricted stock granted   $ 21.00qts_FairValuePerShareOfRestrictedStockUnitsGranted  
Expected term (years)     4 years
Expected volatility 33.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate   55.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
Expected dividend yield   5.50%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
Expected risk-free interest rates     0.17%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of restricted stock granted 25.51qts_FairValuePerShareOfRestrictedStockUnitsGranted
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Fair value of options granted 4.94qts_WeightedAverageFairValueOfOptionsGrantedDuringPeriod
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
$ 3.45qts_WeightedAverageFairValueOfOptionsGrantedDuringPeriod
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Expected term (years) 5 years 6 months 5 years 6 months  
Expected volatility   32.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Expected dividend yield 4.02%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Expected risk-free interest rates 1.70%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
1.40%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of restricted stock granted 35.51qts_FairValuePerShareOfRestrictedStockUnitsGranted
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Fair value of options granted 5.98qts_WeightedAverageFairValueOfOptionsGrantedDuringPeriod
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
$ 3.52qts_WeightedAverageFairValueOfOptionsGrantedDuringPeriod
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
 
Expected term (years) 6 years 1 month 6 days 7 years  
Expected volatility   40.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
 
Expected dividend yield 4.55%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Expected risk-free interest rates 1.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
1.80%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
 
Class O Units [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of restricted stock granted   $ 10.26qts_FairValuePerShareOfRestrictedStockUnitsGranted
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_StatementClassOfStockAxis
= qts_ClassOMember
1.79qts_FairValuePerShareOfRestrictedStockUnitsGranted
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_StatementClassOfStockAxis
= qts_ClassOMember
Class O Units [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of restricted stock granted   $ 10.92qts_FairValuePerShareOfRestrictedStockUnitsGranted
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_StatementClassOfStockAxis
= qts_ClassOMember
2.32qts_FairValuePerShareOfRestrictedStockUnitsGranted
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_StatementClassOfStockAxis
= qts_ClassOMember
Class RS Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Fair value of restricted stock granted     7.15qts_FairValuePerShareOfRestrictedStockUnitsGranted
/ us-gaap_StatementClassOfStockAxis
= qts_ClassRsMember