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Equity Method Investments - Additional Information (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Dec. 11, 2014
Schedule of Equity Method Investments [Line Items]        
Equity method investments $ 124.9us-gaap_EquityMethodInvestments $ 102.0us-gaap_EquityMethodInvestments    
Joint-venture interest       100.00%us-gaap_EquityMethodInvestmentOwnershipPercentage
Contingent rent expense 8.0us-gaap_OperatingLeasesRentExpenseContingentRentals 4.9us-gaap_OperatingLeasesRentExpenseContingentRentals 9.3us-gaap_OperatingLeasesRentExpenseContingentRentals  
Tim Hortons [Member]        
Schedule of Equity Method Investments [Line Items]        
Joint-venture interest 50.00%us-gaap_EquityMethodInvestmentOwnershipPercentage
/ us-gaap_StatementBusinessSegmentsAxis
= qsp_TimHortonsMember
     
Distributions of joint venture 3.9us-gaap_EquityMethodInvestmentDividendsOrDistributions
/ us-gaap_StatementBusinessSegmentsAxis
= qsp_TimHortonsMember
     
Contingent rent expense 1.0us-gaap_OperatingLeasesRentExpenseContingentRentals
/ us-gaap_StatementBusinessSegmentsAxis
= qsp_TimHortonsMember
     
Carrols Restaurant Group, Inc. [Member]        
Schedule of Equity Method Investments [Line Items]        
Quoted market price 71.8us-gaap_EquityMethodInvestmentQuotedMarketValue
/ dei_LegalEntityAxis
= qsp_CarrolsRestaurantGroupIncMember
     
Carrols Restaurant Group, Inc. [Member]        
Schedule of Equity Method Investments [Line Items]        
Noncash dilution gain on the issuance of stock 5.8us-gaap_GainLossOnSaleOfStockInSubsidiaryOrEquityMethodInvestee
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= qsp_CarrolsRestaurantGroupIncMember
     
Ownership interest in equity method investee before additional common stock issued 29.00%us-gaap_SaleOfStockPercentageOfOwnershipBeforeTransaction
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= qsp_CarrolsRestaurantGroupIncMember
     
Ownership interest in equity method investee after additional common stock issued 21.00%us-gaap_SaleOfStockPercentageOfOwnershipAfterTransaction
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= qsp_CarrolsRestaurantGroupIncMember
     
Equity Method Investee [Member]        
Schedule of Equity Method Investments [Line Items]        
Accounts receivable from equity method investments $ 22.6us-gaap_AccountsReceivableRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_EquityMethodInvesteeMember
$ 18.1us-gaap_AccountsReceivableRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_EquityMethodInvesteeMember