Accounting Policies (Narrative) (Details) - USD ($)	12 Months Ended
	Dec. 30, 2016	Jan. 01, 2016	Jan. 02, 2015	Oct. 01, 2016	Jan. 03, 2014
Accounting Policies [Line Items]
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest	$ 2,305,700,000	$ 2,220,600,000	$ 2,353,400,000		$ 2,229,800,000
Investments, Weighted Average Maturity Term	6 months
Lessee Leasing Arrangements, Operating Leases, Term of Contract	12 months
Allowance for Doubtful Accounts Receivable, Current	$ 5,000,000	5,000,000
Additional paid-in-capital	1,348,300,000	1,238,000,000
Depreciation expense	37,000,000	36,700,000	33,100,000
Advertising expense	37,200,000	32,300,000	39,000,000
Research and Development expense with third party funding earned	13,000,000	12,500,000	13,500,000
Unamortized Debt Issuance Expense	2,400,000	2,700,000
Revenue Recognition, Sales Returns, Reserve for Sales Returns	$ 3,600,000	5,100,000
Building [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	39 years
Leasehold Improvements [Member]
Accounting Policies [Line Items]
Property, Plant and Equipment, Estimated Useful Lives	the life of the lease
Minimum [Member]
Accounting Policies [Line Items]
Maturity period of derivative financial instrument, minimum, in months	1 month
Estimated useful lives goodwill and purchased intangible assets, in years	1 month
Reporting Unit, Percentage of Fair Value in Excess of Carrying Amount				180.00%
Warranty periods for products sold	1 year
Minimum [Member] | Machinery And Equipment [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	4 years
Minimum [Member] | Furniture And Fixtures [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	5 years
Minimum [Member] | Computer Equipment And Software [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	2 years
Minimum [Member] | Internal-Use Of Software [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	2 years
Maximum [Member]
Accounting Policies [Line Items]
Maturity period of derivative financial instrument, minimum, in months	2 months
Estimated useful lives goodwill and purchased intangible assets, in years	12 years
Reporting Unit, Percentage of Fair Value in Excess of Carrying Amount				1068.00%
Warranty periods for products sold	2 years
Maximum [Member] | Machinery And Equipment [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	6 years
Maximum [Member] | Furniture And Fixtures [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	7 years
Maximum [Member] | Computer Equipment And Software [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	5 years
Maximum [Member] | Internal-Use Of Software [Member]
Accounting Policies [Line Items]
Useful life of asset, in years	5 years
Weighted Average [Member]
Accounting Policies [Line Items]
Estimated useful lives goodwill and purchased intangible assets, in years	6 years 2 months 26 days
Forward Contracts [Member]
Accounting Policies [Line Items]
Foreign Currency Derivative Instruments Not Designated as Hedging Instruments at Fair Value, Net	$ 0	0
Indemnification Agreement [Member]
Accounting Policies [Line Items]
Loss Contingency Accrual	0	0
Additional Paid-in Capital [Member]
Accounting Policies [Line Items]
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest	$ 1,348,300,000	$ 1,238,000,000	$ 1,207,000,000		$ 1,105,700,000