Equity-Based Compensation - Restricted stock (Details) - USD ($) $ in Millions		12 Months Ended
Nov. 15, 2021	Jan. 02, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Converted from class P units of the Company upon LP liquidation	1,964,103
Restricted shares outstanding		502,322
Vested common stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Converted from class P units of the Company upon LP liquidation	1,536,304
Unvested restricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Converted from class P units of the Company upon LP liquidation	427,799	427,799
Restricted shares outstanding		381,612
Unvested restricted stock \| Service vesting
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized equity based compensation		$ 4.0
Unrecognized equity-based compensation expected to be recognized period		1 year 9 months 3 days
Unvested restricted stock \| Service and performance vesting
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized equity based compensation		$ 0.3
Unrecognized equity-based compensation expected to be recognized period		1 year
Cumulative catch up to equity based compensation		$ 2.6

Amount of cumulative catch up adjustment to equity based compensation.

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- Definition

The number of equity-based payment instruments, excluding stock (or unit) options, that were converted during the reporting period.

+ References

No definition available.

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- Definition

Amount of cost not yet recognized for nonvested award under share-based payment arrangement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (i)
-URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901

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Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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- Definition

The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (c)(2)(i)-(ii)
-URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901

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- Definition

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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