Intangibles and Other Assets - Summary of Intangibles and Other Assets (Detail) - USD ($) $ in Millions	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	$ 758.7	$ 740.6
Total Intangible Assets - Cost	986.8	968.7
Intangibles Assets - Cost	228.1	228.1
Intangibles Assets - Accumulated Amortization	302.7	230.8
Intangibles Assets- Net	456.0	509.8
Total Intangible Assets - Net	684.1	737.9
Intangibles Assets- Net	228.1	228.1
Other Assets - Cost	38.1	28.9
Other Assets - Accumulated Amortization	10.5	8.8
Other Assets - Net	27.6	20.1
Total Intangibles and Other Assets - Cost	1,024.9	997.6
Total Intangibles and Other Assets - Accumulated Amortization	313.2	239.6
Total Intangibles and Other Assets - Net	711.7	758.0	$ 290.6
Financing Costs [Member]
Intangibles And Other Assets Net [Line Items]
Other Assets - Cost	12.6	12.7
Other Assets - Accumulated Amortization	8.5	7.5
Other Assets - Net	4.1	5.2
Deposits [Member]
Intangibles And Other Assets Net [Line Items]
Other Assets - Cost	10.3	7.8
Other Assets - Accumulated Amortization	0.4
Other Assets - Net	9.9	7.8
Customer Relationships [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	663.9	646.2
Intangibles Assets - Accumulated Amortization	241.0	174.6
Intangibles Assets- Net	422.9	471.6
Trademarks [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	33.0	33.5
Intangibles Assets - Accumulated Amortization	28.1	26.9
Intangibles Assets- Net	4.9	6.6
Information Technology [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	54.0	53.3
Intangibles Assets - Accumulated Amortization	29.1	25.7
Intangibles Assets- Net	24.9	27.6
Other [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	7.8	7.6
Intangibles Assets - Accumulated Amortization	4.5	3.6
Intangibles Assets- Net	3.3	4.0
Rights [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	45.0	45.0
Intangibles Assets- Net	45.0	45.0
Other [Member]
Intangibles And Other Assets Net [Line Items]
Other Assets - Cost	15.2	8.4
Other Assets - Accumulated Amortization	1.6	1.3
Other Assets - Net	13.6	7.1
DSS Group Inc [Member] | DSS Trademarks [Member]
Intangibles And Other Assets Net [Line Items]
Intangibles Assets - Cost	183.1	183.1
Intangibles Assets- Net	$ 183.1	$ 183.1