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Earnings per Share (Summary of Basic and Diluted Earnings per Share Footnote) (Details)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]    
Weighted average shares outstanding-diluted 39,209,226us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding [1] 36,889,474us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding [1]
Class A Units [Member]    
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]    
Weighted average shares outstanding-diluted 7,317,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CapitalUnitClassAMember
7,797,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CapitalUnitClassAMember
Class O Units [Member]    
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]    
Weighted average shares outstanding-diluted 436,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= qts_ClassOMember
24,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= qts_ClassOMember
Class RS Units [Member]    
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]    
Weighted average shares outstanding-diluted 7,317,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= qts_ClassRsMember
7,797,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_StatementClassOfStockAxis
= qts_ClassRsMember
Options to purchase Class A common stock [Member]    
Earnings Per Share, Diluted, by Common Class, Including Two Class Method [Line Items]    
Weighted average shares outstanding-diluted 216,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_AwardTypeAxis
= qts_OptionToPurchaseClassACommonStockMember
52,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_AwardTypeAxis
= qts_OptionToPurchaseClassACommonStockMember
[1] Includes 7,317 Class A and Class RS units, 436 “in the money” value of Class O units on an “as if” converted basis and 216 “in the money” value options to purchase shares of Class A common stock on an “as if” converted basis as of the three months ended March 31, 2015. As of the three months ended March 31, 2014, this amount includes 7,797 Class A and Class RS units, 24 “in the money” value of Class O units on as “as if” converted basis and 52 “in the money” value options to purchase shares of Class A common stock on an “as if” converted basis.