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v3.25.3

Leases - Additional Information (Details) $ in Millions | Sep. 30, 2025 USD ($) lease
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Leases [Abstract] |
Number of leases not yet commenced | lease | 1
Leases not yet commenced, liability | $ | $ 11.3

X
- 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

X
- 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

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