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Summary of Significant Accounting Policies - Intangible Assets (Details) - USD ($) $ in Thousands | 12 Months Ended
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Dec. 31, 2022 | Jan. 01, 2022 | Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying amount | $ 927,875 | $ 950,484 |
Finite-Lived Intangible Assets, Accumulated Amortization | (503,034) | (442,208) |
Finite-Lived Intangible Assets, Amortization Expense | $ 86,300 | $ 75,800 | $ 69,000
Customer Lists |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Estimated Weighted Avg Remaining LIfe | 7 years 7 months 6 days | 7 years 7 months 6 days |
Gross Carrying amount | $ 839,811 | $ 863,339 |
Finite-Lived Intangible Assets, Accumulated Amortization | $ (460,885) | $ (411,327) |
Service Backlog |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Estimated Weighted Avg Remaining LIfe | 1 month 6 days | 2 months 12 days |
Gross Carrying amount | $ 8,301 | $ 13,684 |
Finite-Lived Intangible Assets, Accumulated Amortization | $ (6,352) | $ (929) |
Developed Technology Rights |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Estimated Weighted Avg Remaining LIfe | 8 years 3 months 18 days | 8 years 10 months 24 days |
Gross Carrying amount | $ 79,763 | $ 73,461 |
Finite-Lived Intangible Assets, Accumulated Amortization | (35,797) | (29,952) |
Tradenames And Trademarks |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross carrying amount | $ 1,369,391 | $ 1,367,101 |

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- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. As a noncash expense, this element is added back to net income when calculating cash provided by or used in operations using the indirect method. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3602-108585 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 45 -Paragraph 2 -URI https://asc.fasb.org/extlink&oid=6388964&loc=d3e16225-109274 + Details
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- Definition Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References No definition available. + Details
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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI https://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 210 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(16)) -URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682 + Details
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