Intangibles and Other Assets - Summary of Intangibles and Other Assets (Detail) (USD $) In Millions, unless otherwise specified	Apr. 04, 2015	Jan. 03, 2015
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	$ 736.1
Total Intangible Assets - Cost	964.2
Intangibles Assets - Cost	228.1
Intangibles Assets - Accumulated Amortization	246.4
Intangibles Assets- Net	489.7us-gaap_FiniteLivedIntangibleAssetsNet
Total Intangible Assets - Net	717.8
Intangibles Assets- Net	228.1
Other Assets - Cost	56.2cot_OtherAssetsCost
Other Assets - Accumulated Amortization	11.1cot_OtherAssetsAccumulatedAmortization
Other Assets - Net	45.1us-gaap_OtherAssetsNoncurrent
Total Intangibles and Other Assets - Cost	1,020.4cot_IntangiblesAndOtherAssetsCost
Total Intangibles and Other Assets - Accumulated Amortization	257.5
Total Intangibles and Other Assets - Net	762.9cot_IntangibleAssetsAndOther	781.7cot_IntangibleAssetsAndOther
Financing Costs [Member]
Intangibles And Other Assets Net [Line Items]
Other Assets - Cost	37.4
Other Assets - Accumulated Amortization	9.7
Other Assets - Net	27.7
Deposits [Member]
Intangibles And Other Assets Net [Line Items]
Other Assets - Cost	7.2
Other Assets - Net	7.2
Customer Relationships [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	642.8
Intangibles Assets - Accumulated Amortization	189.5
Intangibles Assets- Net	453.3
Trademarks [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	33.1
Intangibles Assets - Accumulated Amortization	27.2
Intangibles Assets- Net	5.9
Information Technology [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	52.7
Intangibles Assets - Accumulated Amortization	25.9
Intangibles Assets- Net	26.8
Other [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	7.5
Intangibles Assets - Accumulated Amortization	3.8
Intangibles Assets- Net	3.7
Rights [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	45.0
Intangibles Assets- Net	45.0
Other [Member]
Intangibles And Other Assets Net [Line Items]
Other Assets - Cost	11.6
Other Assets - Accumulated Amortization	1.4
Other Assets - Net	10.2
DSS Group Inc [Member]
Intangibles And Other Assets Net [Line Items]
Total Intangibles and Other Assets - Net	408.8	415.5
DSS Group Inc [Member] \| Trademarks [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	183.1
Intangibles Assets- Net	$ 183.1

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