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Revenue - Additional Information (Details)	9 Months Ended
	Sep. 30, 2021 country
Non-US And Canada [Member]
Disaggregation of Revenue [Line Items]
Number of countries in which entity operates	18
Minimum
Disaggregation of Revenue [Line Items]
Payment period	30 days
Termination period	30 days
Maximum
Disaggregation of Revenue [Line Items]
Payment period	60 days
Termination period	90 days

X

- Definition

Revenue From Contract With Customer, Payment Period

+ References

No definition available.

+ Details

Name:	stgw_RevenueFromContractWithCustomerPaymentPeriod
Namespace Prefix:	stgw_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Revenue From Contract With Customer, Termination Period

+ References

No definition available.

+ Details

Name:	stgw_RevenueFromContractWithCustomerTerminationPeriod
Namespace Prefix:	stgw_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- 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.

+ References

No definition available.

+ Details

Name:	us-gaap_DisaggregationOfRevenueLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The number of countries in which the entity operates as of balance sheet date.

+ References

No definition available.

+ Details

Name:	us-gaap_NumberOfCountriesInWhichEntityOperates
Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Details

Name:	srt_StatementGeographicalAxis=stgw_NonUSAndCanadaMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: