Basis of Presentation and Nature of Operations (Details)	3 Months Ended	9 Months Ended
Oct. 02, 2022 USD ($) facility	Oct. 02, 2022 USD ($) facility segment	Jan. 02, 2022 USD ($)
Goodwill [Line Items]
Number of facilities \| facility	210	210
Number of reportable segments \| segment		2
Goodwill impairment	$ 0
Goodwill	$ 748,700,000	$ 748,700,000	$ 797,500,000
International Reporting Unit
Goodwill [Line Items]
Fair value in excess of carrying amount, goodwill, percentage	40.00%	40.00%
Goodwill	$ 250,100,000	$ 250,100,000

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Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of loss from the write-down of an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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Number of segments reported by the entity. A reportable segment is a component of an entity for which there is an accounting requirement to report separate financial information on that component in the entity's financial statements.

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Percentage of fair value of reporting unit in excess of carrying amount.

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