Share-based Compensation - Schedule of RSU Activity (Details) - $ / shares shares in Thousands	12 Months Ended
Dec. 29, 2024	Dec. 31, 2023
Restricted Stock Units (RSUs) \| KK U.K.
RSUs and PSUs
Beginning balance, non-vested shares outstanding (in shares)	7	60
Granted (in shares)	0	0
Vested (in shares)	0	50
Forfeited (in shares)	0	3
Ending balance, non-vested shares outstanding (in shares)	7	7
Weighted Average Grant Date Fair Value
Beginning balance, non-vested shares outstanding (in USD per share)	$ 29.80	$ 15.77
Granted, weighted average grant date fair value (in USD per share)	0	0
Vested, weighted average grant date fair value (in USD per share)	0	13.41
Forfeited, weighted average grant date fair value (in USD per share)	0	21.21
Ending balance, non-vested shares outstanding (in USD per share)	$ 29.80	$ 29.80
Restricted Stock Units (RSUs) \| KK Australia
RSUs and PSUs
Beginning balance, non-vested shares outstanding (in shares)	185	354
Granted (in shares)	0	0
Vested (in shares)	42	169
Forfeited (in shares)	6	0
Ending balance, non-vested shares outstanding (in shares)	137	185
Weighted Average Grant Date Fair Value
Beginning balance, non-vested shares outstanding (in USD per share)	$ 1.57	$ 1.47
Granted, weighted average grant date fair value (in USD per share)	0	0
Vested, weighted average grant date fair value (in USD per share)	2.13	1.36
Forfeited, weighted average grant date fair value (in USD per share)	1.91	0
Ending balance, non-vested shares outstanding (in USD per share)	$ 1.39	$ 1.57
Restricted Stock Units (RSUs) \| KK Mexico
RSUs and PSUs
Beginning balance, non-vested shares outstanding (in shares)	20	60
Granted (in shares)	0	0
Vested (in shares)	2	0
Forfeited (in shares)	0	40
Ending balance, non-vested shares outstanding (in shares)	18	20
Weighted Average Grant Date Fair Value
Beginning balance, non-vested shares outstanding (in USD per share)	$ 30.18	$ 33.08
Granted, weighted average grant date fair value (in USD per share)	0	0
Vested, weighted average grant date fair value (in USD per share)	29.21	0
Forfeited, weighted average grant date fair value (in USD per share)	0	34.58
Ending balance, non-vested shares outstanding (in USD per share)	$ 30.01	$ 30.18
Restricted Stock Units (RSUs) and Performance Stock Units (PSUs) \| KKI
RSUs and PSUs
Beginning balance, non-vested shares outstanding (in shares)	6,785	4,946
Granted (in shares)	1,934	3,063
Vested (in shares)	1,893	669
Forfeited (in shares)	842	555
Ending balance, non-vested shares outstanding (in shares)	5,984	6,785
Weighted Average Grant Date Fair Value
Beginning balance, non-vested shares outstanding (in USD per share)	$ 14.54	$ 14.23
Granted, weighted average grant date fair value (in USD per share)	14.19	14.48
Vested, weighted average grant date fair value (in USD per share)	14.80	11.62
Forfeited, weighted average grant date fair value (in USD per share)	14.94	14.89
Ending balance, non-vested shares outstanding (in USD per share)	$ 14.29	$ 14.54

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

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Weighted average fair value as of the grant date of equity-based award plans other than stock (unit) option plans that were not exercised or put into effect as a result of the occurrence of a terminating event.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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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.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)(2)(i)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)(2)(ii)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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Per share or unit weighted-average fair value of nonvested award under share-based payment arrangement. Excludes share and unit options.

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

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The weighted average fair value as of grant date pertaining to an equity-based award plan other than a stock (or unit) option plan for which the grantee gained the right during the reporting period, by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash in accordance with the terms of the arrangement.

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