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Income Taxes - Reconciliation of Income Tax Expense, Net of Federal Income Tax Rate (Detail) - USD ($) $ in Millions | 12 Months Ended
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Jan. 02, 2016 | Jan. 03, 2015 | Dec. 28, 2013
Income Taxes [Line Items] |  |  |
Income taxes at U.S. statutory rate (35%) | $ 57.6 | $ 63.5 | $ 44.7
State income taxes, net of federal income tax | 1.8 | 3.7 | 0.5
Tax credits | (0.4) | (0.7) | (2.2)
Adjustments for uncertain tax positions | 0.1 | 0.0 | (1.2)
Change in valuation allowance | (1.3) | (19.2) | 0.1
Change in state tax rates | (0.7) | (6.0) | (2.0)
Gain on intercompany sale of subsidiary stock | 0.0 | 23.2 | 0.0
Non-deductible expenses | 3.5 | 1.1 | 0.9
Other | 1.0 | (0.4) | 0.9
Total provision for income taxes | 41.4 | 47.6 | 26.7
CAYMAN ISLANDS |  |  |
Income Taxes [Line Items] |  |  |
(Nontaxable earnings) non-deductible losses of foreign affiliates: | (0.4) | (5.5) | (5.4)
BERMUDA |  |  |
Income Taxes [Line Items] |  |  |
(Nontaxable earnings) non-deductible losses of foreign affiliates: | 0.0 | (0.4) | 2.7
HONG KONG |  |  |
Income Taxes [Line Items] |  |  |
Foreign earnings taxed at rates different from the U.S. statutory rate: | (18.1) | (16.4) | (17.1)
OTHER JURISDICTIONS |  |  |
Income Taxes [Line Items] |  |  |
(Nontaxable earnings) non-deductible losses of foreign affiliates: | (1.9) | 1.1 | 1.7
Foreign earnings taxed at rates different from the U.S. statutory rate: | $ 0.2 | $ 3.6 | $ 3.1

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