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EMPLOYEE BENEFIT PLANS (Defined Contribution Plans) (Details) (Defined Contribution Plan [Member], USD $)
In Millions, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Defined Contribution Plan [Member]
     
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]      
Minimum age participation for the defined contribution plan (in years) 21 years    
Minimum service participation for the defined contribution plan (in months) 3 months    
Minimum hours service participation for the defined contribution plan (in hours) 250 hours    
Defined contribution plan expense for the fiscal year $ 10.5us-gaap_DefinedContributionPlanCostRecognized
/ cri_DefinedContributionPlansAxis
= us-gaap_SupplementalEmployeeRetirementPlanDefinedBenefitMember
$ 8.5us-gaap_DefinedContributionPlanCostRecognized
/ cri_DefinedContributionPlansAxis
= us-gaap_SupplementalEmployeeRetirementPlanDefinedBenefitMember
$ 6.3us-gaap_DefinedContributionPlanCostRecognized
/ cri_DefinedContributionPlansAxis
= us-gaap_SupplementalEmployeeRetirementPlanDefinedBenefitMember