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Dodge Acquisition (Details) - USD ($) $ in Thousands |  |  | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | ---
Nov. 01, 2021 | Oct. 07, 2021 | Dec. 31, 2022 | Jan. 01, 2022 | Dec. 31, 2022 | Jan. 01, 2022 | Apr. 02, 2022
Dodge Acquisition (Details) [Line Items] |  |  |  |  |  |  |
Net of cash acquired | $ 2,908,241 |  |  |  |  |  |
Term loan facility, net of issuance costs | 1,285,761 |  |  |  |  |  |
Net proceeds from common stock and MCPS offerings | 1,050,811 |  |  |  |  |  |
Net proceeds from senior notes offering |  | $ 491,992 |  |  |  |  |
Cash on hand | 77,469 |  |  |  |  |  |
Purchase price adjustments totaling | 28,710 |  |  |  |  |  |
Acquisition costs incurred |  |  |  |  |  |  | $ 22,598
Acquired goodwill which is deductible for tax purposes |  |  |  |  | $ 44,941 |  |
Identifiable intangible assets |  |  | $ 1,385,082 |  | 1,385,082 |  |
Gross intangible asset |  |  | 1,613,375 |  | 1,613,375 |  | $ 1,609,297
Revenue |  |  | 174,765 |  | 544,505 | $ 109,976 |
Operating income |  |  | 37,532 | $ 5,348 | 106,178 |  |
TSA costs |  |  |  |  | $ 16,948 |  |
Senior Notes [Member] |  |  |  |  |  |  |
Dodge Acquisition (Details) [Line Items] |  |  |  |  |  |  |
Net proceeds from senior notes offering | $ 494,200 |  |  |  |  |  |
Trade Names [Member] |  |  |  |  |  |  |
Dodge Acquisition (Details) [Line Items] |  |  |  |  |  |  |
Fair value term |  |  |  |  | 25 years |  |
Economic Pattern Benefit [Member] | Customer Relationships [Member] |  |  |  |  |  |  |
Dodge Acquisition (Details) [Line Items] |  |  |  |  |  |  |
Gross intangible asset |  |  | 1,185,000 |  | $ 1,185,000 |  |
Fair value term |  |  |  |  | 24 years |  |
Straight-Line Basis [Member] | Trade Names [Member] |  |  |  |  |  |  |
Dodge Acquisition (Details) [Line Items] |  |  |  |  |  |  |
Gross intangible asset |  |  | 200,000 |  | $ 200,000 |  |
Fair value term |  |  |  |  | 26 years |  |
Transition Services Agreement [Member] |  |  |  |  |  |  |
Dodge Acquisition (Details) [Line Items] |  |  |  |  |  |  |
TSA costs |  |  | $ 1,241 |  | $ 8,945 |  |
Business Combination [Member] |  |  |  |  |  |  |
Dodge Acquisition (Details) [Line Items] |  |  |  |  |  |  |
Purchase of capital stock, percentage |  |  | 100.00% |  | 100.00% |  |

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