Segment Reporting - Segment Reporting Information by Operating Segment (Detail) (USD $) In Millions, unless otherwise specified	3 Months Ended
Apr. 04, 2015	Mar. 29, 2014	Jan. 03, 2015
Segment Reporting Information [Line Items]
External revenue	$ 709.8us-gaap_SalesRevenueNet	$ 475.1us-gaap_SalesRevenueNet
Depreciation and amortization	57.4	25.1
Operating income (loss)	6.7us-gaap_OperatingIncomeLoss	4.3us-gaap_OperatingIncomeLoss
Additions to property, plant and equipment	27.3	8.8
Property, plant and equipment, net	845.2us-gaap_PropertyPlantAndEquipmentNet		864.5us-gaap_PropertyPlantAndEquipmentNet
Goodwill	742.4us-gaap_Goodwill		743.6us-gaap_Goodwill
Intangibles and other assets	762.9cot_IntangibleAssetsAndOther		781.7cot_IntangibleAssetsAndOther
Total assets	3,033.6us-gaap_Assets		3,107.7us-gaap_Assets
North America [Member]
Segment Reporting Information [Line Items]
External revenue	324.3	344.7
Depreciation and amortization	21.3	20.7
Operating income (loss)	7.2	2.5
Additions to property, plant and equipment	7.2	5.8
Property, plant and equipment, net	319.2		331.9
Goodwill	122.0		123.7
Intangibles and other assets	260.8		266.8
Total assets	1,035.8		1,077.7
United Kingdom [Member]
Segment Reporting Information [Line Items]
External revenue	132.2	115.6
Depreciation and amortization	5.5	4.0
Operating income (loss)	3.9	2.2
Additions to property, plant and equipment	1.7	3.0
Property, plant and equipment, net	103.7		109.9
Goodwill	56.0		58.5
Intangibles and other assets	93.2		99.2
Total assets	418.0		426.8
DSS Group Inc [Member]
Segment Reporting Information [Line Items]
External revenue	240.3
Depreciation and amortization	30.2
Operating income (loss)	(1.5)
Additions to property, plant and equipment	18.4
Property, plant and equipment, net	415.4		415.4
Goodwill	559.9		556.9
Intangibles and other assets	408.8		415.5
Total assets	1,548.0		1,572.8
DSS Group Inc [Member] \| North America [Member]
Segment Reporting Information [Line Items]
Property, plant and equipment, net	734.6		747.3
All Other [Member]
Segment Reporting Information [Line Items]
External revenue	13.0	14.8
Depreciation and amortization	0.4	0.4
Operating income (loss)	1.6	2.5
Property, plant and equipment, net	6.9		7.3
Goodwill	4.5		4.5
Intangibles and other assets	0.1		0.2
Total assets	31.8		30.4
Corporate [Member]
Segment Reporting Information [Line Items]
Operating income (loss)	$ (4.5)	$ (2.9)

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Sum of the carrying amounts as of the balance sheet date of all assets that are recognized. Assets are probable future economic benefits obtained or controlled by an entity as a result of past transactions or events.

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Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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The cash outflow associated with the acquisition of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale; includes cash outflows to pay for construction of self-constructed assets.

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Amount after accumulated depreciation, depletion and amortization of physical assets used in the normal conduct of business to produce goods and services and not intended for resale. Examples include, but are not limited to, land, buildings, machinery and equipment, office equipment, and furniture and fixtures.

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Total revenue from sale of goods and services rendered during the reporting period, in the normal course of business, reduced by sales returns and allowances, and sales discounts.

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