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Fair Value Measurements - Carrying Value and Estimated Fair Values of Outstanding Debt (Detail) (USD $)
In Millions, unless otherwise specified
Apr. 04, 2015
Jan. 03, 2015
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Senior notes, carrying value $ 1,544.2us-gaap_NotesPayable $ 1,555.6us-gaap_NotesPayable
6.750% Senior Notes Due in 2020 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Senior notes, carrying value 625.0us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= cot_SixPointSevenFiveZeroPercentSeniorNotesDueInTwoThousandTwentyMember
625.0us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= cot_SixPointSevenFiveZeroPercentSeniorNotesDueInTwoThousandTwentyMember
10.000% Senior Notes Due in 2021 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Senior notes, carrying value 394.2us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= cot_TenPointZeroPercentSeniorNotesDueInTwoThousandTwentyOneMember
405.6us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= cot_TenPointZeroPercentSeniorNotesDueInTwoThousandTwentyOneMember
5.375% Senior Notes Due in 2022 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Senior notes, carrying value 525.0us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= cot_FivePointThreeSevenFivePercentSeniorNotesDueInTwoThousandTwentyTwoMember
525.0us-gaap_SeniorNotes
/ us-gaap_LongtermDebtTypeAxis
= cot_FivePointThreeSevenFivePercentSeniorNotesDueInTwoThousandTwentyTwoMember
Level 1 [Member] | Estimate of Fair Value, Fair Value Disclosure [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Outstanding debt, fair value 1,560.4us-gaap_DebtInstrumentFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
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1,515.2us-gaap_DebtInstrumentFairValue
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= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
Level 1 [Member] | Estimate of Fair Value, Fair Value Disclosure [Member] | 6.750% Senior Notes Due in 2020 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Outstanding debt, fair value 646.9us-gaap_DebtInstrumentFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
/ us-gaap_LongtermDebtTypeAxis
= cot_SixPointSevenFiveZeroPercentSeniorNotesDueInTwoThousandTwentyMember
630.1us-gaap_DebtInstrumentFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
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/ us-gaap_LongtermDebtTypeAxis
= cot_SixPointSevenFiveZeroPercentSeniorNotesDueInTwoThousandTwentyMember
Level 1 [Member] | Estimate of Fair Value, Fair Value Disclosure [Member] | 10.000% Senior Notes Due in 2021 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Outstanding debt, fair value 409.5us-gaap_DebtInstrumentFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
/ us-gaap_LongtermDebtTypeAxis
= cot_TenPointZeroPercentSeniorNotesDueInTwoThousandTwentyOneMember
403.4us-gaap_DebtInstrumentFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
/ us-gaap_LongtermDebtTypeAxis
= cot_TenPointZeroPercentSeniorNotesDueInTwoThousandTwentyOneMember
Level 1 [Member] | Estimate of Fair Value, Fair Value Disclosure [Member] | 5.375% Senior Notes Due in 2022 [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Outstanding debt, fair value $ 504.0us-gaap_DebtInstrumentFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_EstimateOfFairValueFairValueDisclosureMember
/ us-gaap_LongtermDebtTypeAxis
= cot_FivePointThreeSevenFivePercentSeniorNotesDueInTwoThousandTwentyTwoMember
$ 481.7us-gaap_DebtInstrumentFairValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
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= cot_FivePointThreeSevenFivePercentSeniorNotesDueInTwoThousandTwentyTwoMember