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Employee Stock Benefit Plans (Components of Stock-based Compensation Expense) (Details) - USD ($) $ in Millions | 12 Months Ended
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Jan. 01, 2021 | Jan. 03, 2020 | Dec. 28, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | $ 83.0 | $ 75.0 | $ 76.9
Cost of sales |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 6.7 | 5.6 | 4.5
Research and development |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 22.1 | 16.7 | 15.0
Sales and marketing |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 16.2 | 13.0 | 10.0
General and administrative |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 38.0 | 39.7 | 47.4
Restricted stock units |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 73.2 | 67.3 | 68.9
Stock options |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 1.5 | 0.6 | 1.5
ESPP |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | $ 8.3 | $ 7.1 | $ 6.5

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