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Stock-Based Compensation - Stock-based compensation costs (Details) - USD ($) shares in Thousands, $ in Thousands | 12 Months Ended
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Jan. 01, 2022 | Jan. 02, 2021 | Dec. 28, 2019
Stock-Based Compensation |  |  |
Stock-based compensation cost | $ 56,842 | $ 49,454 | $ 44,334
Income tax benefit | (954) | (3,694) | (2,584)
Share based compensation costs after tax | $ 53,881 | 56,475 | 52,324
Reserved shares of common stock for future issuance | 4,200 |  |
Continuing operations |  |  |
Stock-Based Compensation |  |  |
Share based compensation costs after tax | $ 55,888 | 45,760 | 41,750
Discontinued operations |  |  |
Stock-Based Compensation |  |  |
Share based compensation costs after tax | (2,007) | 10,715 | 10,574
Cost of revenues |  |  |
Stock-Based Compensation |  |  |
Stock-based compensation cost | 964 | 970 | 790
Research and development |  |  |
Stock-Based Compensation |  |  |
Stock-based compensation cost | 24,986 | 23,359 | 19,996
Selling, general and administrative |  |  |
Stock-Based Compensation |  |  |
Stock-based compensation cost | 30,892 | $ 25,125 | $ 23,548
2009 Stock Incentive Plan |  |  |
Stock-Based Compensation |  |  |
Total unrecognized compensation costs related to awards | $ 74,200 |  |
Weighted-average period of recognition of unrecognized compensation costs | 2 years 4 months 24 days |  |
Reserved shares of common stock for future issuance | 2,946 |  |
2009 Employee Stock Purchase Plan |  |  |
Stock-Based Compensation |  |  |
Reserved shares of common stock for future issuance | 1,254 |  |

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