Income Taxes - Reconciliation of Income Tax Expense, Net of Federal Income Tax Rate (Detail) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Income Taxes [Line Items]
Income taxes at U.S. statutory rate (35%)	$ 63.5	$ 44.7	$ 33.0
State income taxes, net of federal income tax	3.7	0.5	0.2
Tax credits	(0.7)	(2.2)	0
Adjustments for uncertain tax positions	0	(1.2)	(6.7)
Change in valuation allowance	(19.2)	0.1	0.7
Change in state tax rates	(6.0)	(2.0)	0
Gain on intercompany sale of subsidiary stock	23.2	0	0
Non-deductible expenses	1.1	0.9	4.9
Other	(0.4)	0.9	0
Total provision for income taxes	47.6	26.7	13.4
CAYMAN ISLANDS
Income Taxes [Line Items]
(Nontaxable earnings) non-deductible losses of foreign affiliates:	(5.5)	(5.4)	(4.6)
BERMUDA
Income Taxes [Line Items]
(Nontaxable earnings) non-deductible losses of foreign affiliates:	(0.4)	2.7	1.7
DOMINICAN REPUBLIC
Income Taxes [Line Items]
(Nontaxable earnings) non-deductible losses of foreign affiliates:	1.1	1.7	(2.0)
HONG KONG
Income Taxes [Line Items]
Foreign earnings taxed at rates different from the U.S. statutory rate:	(16.4)	(17.1)	(12.2)
OTHER JURISDICTIONS
Income Taxes [Line Items]
Foreign earnings taxed at rates different from the U.S. statutory rate:	$ 3.6	$ 3.1	$ (1.6)