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Stock Compensation Plans and Stock Based Compensation (Details 1) - USD ($) $ in Thousands | 12 Months Ended
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Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018
Stock based compensation expense and allocation by cost |  |  |
Stock-based compensation | $ 197,268 | $ 181,547 | $ 167,715
Cost of product and maintenance [Member] |  |  |
Stock based compensation expense and allocation by cost |  |  |
Stock-based compensation | 2,922 | 2,759 | 2,631
Cost of services [Member] |  |  |
Stock based compensation expense and allocation by cost |  |  |
Stock-based compensation | 3,720 | 3,510 | 3,714
Marketing and sales [Member] |  |  |
Stock based compensation expense and allocation by cost |  |  |
Stock-based compensation | 42,096 | 39,088 | 34,665
Research and development [Member] |  |  |
Stock based compensation expense and allocation by cost |  |  |
Stock-based compensation | 124,999 | 114,656 | 104,353
General and administrative [Member] |  |  |
Stock based compensation expense and allocation by cost |  |  |
Stock-based compensation | $ 23,531 | $ 21,534 | $ 22,352

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- Definition Stock based compensation expense and allocation by cost. + References No definition available. + Details
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- Definition Amount of noncash expense for share-based payment arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=121586364&loc=d3e3602-108585 + Details
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