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Accounting Policies (Narrative) (Details) $ in Thousands | 12 Months Ended
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Dec. 28, 2018 USD ($) segment | Dec. 29, 2017 USD ($) | Dec. 30, 2016 USD ($)
Accounting Policies [Line Items] |  |  |  |  |
Business Combination Valuation Remeasurement Window | 1 year |  |  |  |
Number of Reportable Segments | segment | 4 |  |  |  |
Subscription revenue term | 5 years |  |  |  |
Allowance for Doubtful Accounts Receivable, Current | $ 4,600 | $ 3,600 |  | $ 5,000 |
Advertising expense | 42,700 | 37,200 |  | 37,200 |
Research and Development expense with third party funding earned | 19,500 | 18,100 |  | 13,000 |
Net Cash Provided by Operating Activities | 486,700 | 429,700 | [1] | 431,100 | [1]
Net Cash Provided by (Used in) Investing Activities, Continuing Operations | (1,649,600) | (371,200) | [1] | (146,900) | [1]
Net Cash Provided by (Used in) Financing Activities, Continuing Operations | $ 989,400 | 66,500 | [1] | (177,300) | [1]
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] |  |  |  |  |
Post Contract Support Term | 1 year |  |  |  |
Capitalized Contract Cost, Amortization Period | 3 years |  |  |  |
Warranty periods for products sold | 1 year |  |  |  |
Maturity period of derivative financial instrument, minimum, in months | 1 month |  |  |  |
Estimated useful lives goodwill and purchased intangible assets, in years | 4 years |  |  |  |
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] |  |  |  |  |
Post Contract Support Term | 3 years |  |  |  |
Capitalized Contract Cost, Amortization Period | 7 years |  |  |  |
Warranty periods for products sold | 2 years |  |  |  |
Maturity period of derivative financial instrument, minimum, in months | 2 months |  |  |  |
Investments, Weighted Average Maturity Term | 6 months |  |  |  |
Estimated useful lives goodwill and purchased intangible assets, in years | 10 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 | 10 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 6 months |  |  |  |
Forward Contracts [Member] |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |
Derivative Financial Instruments Accounted for as Hedges | $ 0 | 0 |  |  |
Indemnification Agreement [Member] |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |
Loss Contingency Accrual | $ 0 | 0 |  |  |
Difference between Revenue Guidance in Effect before and after Topic 606 [Member] | Accounting Standards Update 2014-09 [Member] |  |  |  |  |
Accounting Policies [Line Items] |  |  |  |  |
Net Cash Provided by Operating Activities |  | 0 |  | 0 |
Net Cash Provided by (Used in) Investing Activities, Continuing Operations |  | 0 |  | 0 |
Net Cash Provided by (Used in) Financing Activities, Continuing Operations |  | $ 0 |  | $ 0 |
[1] | See Note 2 for a summary of adjustments

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