Income Taxes (Reconciliation of The Statutory Federal Income Tax Rate and The Effective Tax Rate) (Details)	12 Months Ended
Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Income Taxes [Line Items]
Federal statutory rate	35.00%	35.00%	35.00%
State income taxes, net of federal benefit	(0.20%)	(0.40%)	1.90%
Domestic production activities deduction	(1.00%)	(2.70%)	(1.40%)
Foreign rate differential	(7.20%)	(4.80%)	(9.20%)
Research and development credit	(4.10%)	(7.40%)	(4.50%)
Statutory tax rate change	0.00%	0.00%	(2.60%)
Goodwill impairment	4.00%	42.90%	13.20%
Valuation allowance	0.00%	4.20%	1.70%
Adjustments to tax accruals and reserves	2.10%	2.40%	(0.20%)
Write down of Venezuelan assets	2.30%	0.00%	0.00%
Other	(3.00%)	(1.50%)	(3.40%)
Effective tax rate	24.60%	60.00%	26.10%
CHINA
Income Taxes [Line Items]
Foreign rate differential	(3.30%)	(7.70%)	(4.40%)

Effective Income Tax Rate Reconciliation, Write Down of Assets

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[Line Items] for Income Taxes [Table]

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Percentage of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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Percentage of domestic federal statutory tax rate applicable to pretax income (loss).

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to changes in the valuation allowance for deferred tax assets.

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to statutory income tax expense (benefit) outside of the country of domicile.

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations applicable to state and local income tax expense (benefit), net of federal tax expense (benefit).

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Percentage of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to tax credits. Including, but not limited to, research credit, foreign tax credit, investment tax credit, and other tax credits.

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