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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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Dec. 31, 2021 | Jan. 01, 2021 | Jan. 03, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | $ 122.6 | $ 83.0 | $ 75.0
Cost of sales |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 9.5 | 6.7 | 5.6
Research and development |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 29.5 | 22.1 | 16.7
Sales and marketing |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 21.5 | 16.2 | 13.0
General and administrative |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 62.1 | 38.0 | 39.7
Restricted stock units |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 110.5 | 73.2 | 67.3
Stock options |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | 1.3 | 1.5 | 0.6
ESPP |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Total stock-based compensation expense | $ 10.8 | $ 8.3 | $ 7.1

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