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Leases - Summary of Assets Lease, Property and Equipment, Net (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Property Subject to or Available for Operating Lease [Line Items]    
Total lease, property and equipment $ 2,102.0us-gaap_PropertySubjectToOrAvailableForOperatingLeaseGross $ 822.3us-gaap_PropertySubjectToOrAvailableForOperatingLeaseGross
Accumulated depreciation (155.5)us-gaap_PropertySubjectToOrAvailableForOperatingLeaseAccumulatedDepreciation (130.3)us-gaap_PropertySubjectToOrAvailableForOperatingLeaseAccumulatedDepreciation
Total assets lease, property and equipment, net 1,946.5us-gaap_PropertySubjectToOrAvailableForOperatingLeaseNet 692.0us-gaap_PropertySubjectToOrAvailableForOperatingLeaseNet
Land [Member]    
Property Subject to or Available for Operating Lease [Line Items]    
Total lease, property and equipment 778.8us-gaap_PropertySubjectToOrAvailableForOperatingLeaseGross
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
421.7us-gaap_PropertySubjectToOrAvailableForOperatingLeaseGross
/ us-gaap_MajorPropertyClassAxis
= us-gaap_LandMember
Buildings and Improvements [Member]    
Property Subject to or Available for Operating Lease [Line Items]    
Total lease, property and equipment 1,276.2us-gaap_PropertySubjectToOrAvailableForOperatingLeaseGross
/ us-gaap_MajorPropertyClassAxis
= us-gaap_BuildingAndBuildingImprovementsMember
397.9us-gaap_PropertySubjectToOrAvailableForOperatingLeaseGross
/ us-gaap_MajorPropertyClassAxis
= us-gaap_BuildingAndBuildingImprovementsMember
Restaurant Equipment [Member]    
Property Subject to or Available for Operating Lease [Line Items]    
Total lease, property and equipment $ 47.0us-gaap_PropertySubjectToOrAvailableForOperatingLeaseGross
/ us-gaap_MajorPropertyClassAxis
= qsp_RestaurantEquipmentMember
$ 2.7us-gaap_PropertySubjectToOrAvailableForOperatingLeaseGross
/ us-gaap_MajorPropertyClassAxis
= qsp_RestaurantEquipmentMember