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Leases - Cash flows related to the financing obligation for the DTLA property (Details) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2023 | Jan. 01, 2023 | Jan. 02, 2022
Cash flows from investing activities |  |  |
Purchase of property and equipment | $ (67,763) | $ (73,729) | $ (90,812)
Cash flows from financing activities |  |  |
Proceeds from financing obligation | 0 | 0 | 0
Supplemental disclosures of non-cash investing and financing activities: |  |  |
Non-cash capitalized interest under financing obligation | 0 | 0 | 0
DTLA Property [Member] |  |  |
Cash flows from operating activities |  |  |
Interest payments for financing obligation | (7,031) | (6,894) | (5,626)
Cash flows from investing activities |  |  |
Capitalized interest | 0 | 0 | 0
Purchase of property and equipment | 0 | 0 | 0
Cash flows from financing activities |  |  |
Principal payments on financing obligation | 0 | (1,578) | (1,334)
Proceeds from financing obligation | $ 0 | $ 0 | $ 0

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- Definition Finance Lease, Capitalized Interest + References No definition available. + Details
Name: | shco_FinanceLeaseCapitalizedInterest
Namespace Prefix: | shco_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition Principal Payments On Financing Obligation + References No definition available. + Details
Name: | shco_PrincipalPaymentsOnFinancingObligation
Namespace Prefix: | shco_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition This element represents interest incurred for borrowed money which was used to produce goods or render services. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 220 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 2 -Subparagraph (SX 210.5-03.2) -Publisher FASB -URI https://asc.fasb.org//1943274/2147483621/220-10-S99-2 + Details
Name: | us-gaap_FinancingInterestExpense
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Amount of interest costs capitalized disclosed as an adjusting item to interest costs incurred. + References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- References No definition available. + Details
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Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- References No definition available. + Details
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Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- References No definition available. + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition The cash outflow associated with the acquisition of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale; includes cash outflows to pay for construction of self-constructed assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Topic 230 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 13 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482740/230-10-45-13 + Details
Name: | us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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- Definition The cash inflow from proceeds received from lessor related to a long-term capital lease obligation. + References Reference 1: http://fasb.org/us-gaap/role/ref/otherTransitionRef -Topic 230 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 14 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482740/230-10-45-14 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
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Namespace Prefix: |
Data Type: | na
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