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Stock-Based Compensation - Accounting for Stock Based Compensation (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2022 | Jan. 01, 2022 | Jan. 02, 2021
Stock-Based Compensation |  |  |
Stock-based compensation cost | $ 60,510 | $ 56,842 | $ 49,454
Income tax benefit | (5,980) | (954) | (3,694)
Share based compensation costs after tax | 54,530 | 53,881 | 56,475
Total unrecognized compensation costs related to awards | $ 121,500 |  |
Weighted-average period of recognition of unrecognized compensation costs | 2 years 1 month 6 days |  |
Continuing operations |  |  |
Stock-Based Compensation |  |  |
Share based compensation costs after tax | $ 54,530 | 55,888 | 45,760
Discontinued operations |  |  |
Stock-Based Compensation |  |  |
Share based compensation costs after tax |  | (2,007) | 10,715
Cost of revenues |  |  |
Stock-Based Compensation |  |  |
Stock-based compensation cost | 1,152 | 964 | 970
Research and development |  |  |
Stock-Based Compensation |  |  |
Stock-based compensation cost | 32,860 | 24,986 | 23,359
Selling, general and administrative |  |  |
Stock-Based Compensation |  |  |
Stock-based compensation cost | $ 26,498 | 30,892 | $ 25,125
Expenses attributable to modification of equity awards |  | $ 7,800 |

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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