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Leases - Additional Information (Details) $ in Thousands | 12 Months Ended
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Dec. 31, 2022 USD ($) lease
Leases [Abstract] |
Number of leases not yet commenced | lease | 2
Leases not yet commenced, liability | $ 3,266
Operating Lease, Impairment Loss | $ 2,582

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- Definition Lessee, Operating Lease, Lease Not yet Commenced, Number of Contracts + References No definition available. + Details
Name: | stgw_LesseeOperatingLeaseLeaseNotYetCommencedNumberOfContracts
Namespace Prefix: | stgw_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

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- Definition Lessee, Operating Lease, Lease Not yet Commenced, Liability + References No definition available. + Details
Name: | stgw_LesseeOperatingLeaseLeaseNotyetCommencedLiability
Namespace Prefix: | stgw_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

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

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- Definition Amount of loss from impairment of right-of-use asset from operating lease. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 25 -Paragraph 6 -Subparagraph (c) -URI https://asc.fasb.org/extlink&oid=123399704&loc=SL77918431-209957 + Details
Name: | us-gaap_OperatingLeaseImpairmentLoss
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration