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Goodwill and Other Intangible Assets, net | 9 Months Ended
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Oct. 02, 2022
Goodwill and Intangible Assets Disclosure [Abstract] |
Goodwill and Other Intangible Assets, net | Goodwill and Other Intangible Assets, net Goodwill Changes in the carrying amount of goodwill by reportable segment are as follows:
| U.S. and Canada |  | International |  | Market Development |  | Total
Balance as of January 2, 2022 | $ | 688,048 |  |  | $ | 283,342 |  |  | $ | 133,932 |  |  | $ | 1,105,322 |
Acquisitions | 11,259 |  |  | — |  |  | (4,417) |  |  | 6,842 |
Foreign currency impact | (1,283) |  |  | (36,640) |  |  | — |  |  | (37,923) |
Balance as of October 2, 2022 | $ | 698,024 |  |  | $ | 246,702 |  |  | $ | 129,515 |  |  | $ | 1,074,241 |
Other Intangible Assets, net Other intangible assets consist of the following:
| October 2, 2022 |  | January 2, 2022
| Gross Carrying Amount |  | Accumulated Amortization |  | Net Amount |  | Gross Carrying Amount |  | Accumulated Amortization |  | Net Amount
Intangible assets with indefinite lives |  |  |  |  |  |  |  |  |  |  |
Trade name | $ | 657,900 |  |  | $ | — |  |  | $ | 657,900 |  |  | $ | 657,900 |  |  | $ | — |  |  | $ | 657,900 |
Intangible assets with definite lives |  |  |  |  |  |  |  |  |  |  |
Franchise agreements | 30,632 |  |  | (9,006) |  |  | 21,626 |  |  | 32,545 |  |  | (8,369) |  |  | 24,176 |
Customer relationships | 15,000 |  |  | (5,332) |  |  | 9,668 |  |  | 15,000 |  |  | (4,684) |  |  | 10,316 |
Reacquired franchise rights | 371,989 |  |  | (94,825) |  |  | 277,164 |  |  | 384,305 |  |  | (84,177) |  |  | 300,128 |
Website development costs | 6,500 |  |  | (6,500) |  |  | — |  |  | 6,500 |  |  | (6,500) |  |  | — |
Total intangible assets with definite lives | 424,121 |  |  | (115,663) |  |  | 308,458 |  |  | 438,350 |  |  | (103,730) |  |  | 334,620 |
Total intangible assets | $ | 1,082,021 |  |  | $ | (115,663) |  |  | $ | 966,358 |  |  | $ | 1,096,250 |  |  | $ | (103,730) |  |  | $ | 992,520 |
Amortization expense related to intangible assets included in depreciation and amortization expense was $7.1 million and $21.3 million for the quarter and three quarters ended October 2, 2022, respectively, and $7.5 million and $22.6 million for the quarter and three quarters ended October 3, 2021, respectively.

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- Definition The entire disclosure for goodwill and intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -URI https://asc.fasb.org/topic&trid=2144416 + Details
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