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Intangibles (Tables) | 3 Months Ended
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Apr. 02, 2022
Intangible Assets, Net (Excluding Goodwill) [Abstract] |
Schedule of Acquired Finite-Lived Intangible Assets by Major Class [Table Text Block] | Intangible assets consist of the following (in thousands):
| April 2, 2022 |  | January 1, 2022
| Estimated Weighted Avg Remaining Life |  | Gross Carrying Amount |  | Accumulated Amortization |  | Estimated Weighted Avg Remaining Life |  | Gross Carrying Amount |  | Accumulated Amortization
Amortized intangible assets: |  |  |  |  |  |  |  |  |  |  |
Customer lists | 7.4 |  | $ | 863,339 |  |  | $ | (430,729) |  |  | 7.6 |  | $ | 863,339 |  |  | $ | (411,327) |
Backlog | 0.0 |  | 13,646 |  |  | (13,646) |  |  | 0.2 |  | 13,684 |  |  | (929) |
Developed technology | 8.7 |  | 73,701 |  |  | (31,555) |  |  | 8.9 |  | 73,461 |  |  | (29,952) |
|  |  | $ | 950,686 |  |  | $ | (475,930) |  |  |  |  | $ | 950,484 |  |  | $ | (442,208) |
Indefinite-lived assets: |  |  |  |  |  |  |  |  |  |  |
Trademarks and tradenames |  |  | $ | 1,360,401 |  |  |  |  |  |  | $ | 1,367,101 |  |  |
Schedule of Finite-Lived Intangible Assets, Future Amortization Expense [Table Text Block] | The estimated future amortization expense of intangible assets is as follows (in thousands):
Twelve Month Period coinciding with the end of the company's Fiscal First Quarter |  | Amortization Expense
2023 |  | $ | 80,942 |
2024 |  | 74,658 |
2025 |  | 62,315 |
2026 |  | 57,876 |
2027 |  | 53,343 |
Thereafter |  | 145,622 |
|  | $ | 474,756 |

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