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v3.25.1

License and Collaboration Agreements - Additional Information (Details) - USD ($) $ in Millions | 1 Months Ended | 3 Months Ended |
--- | --- | --- | ---
Feb. 28, 2025 | Jan. 31, 2022 | Mar. 31, 2025 | Feb. 14, 2025
Biogen License Agreement |  |  |  |
License And Collaboration Agreement [Line Items] |  |  |  |
Initial transaction price |  |  | $ 243.4 |
Non-refundable upfront payment |  |  | 165.0 |
Estimated variable consideration related to cost reimbursements for global development activities |  |  | 78.4 |
Upfront consideration related to performance obligations |  |  | 14.0 |
Acadia Pharmaceuticals Inc. |  |  |  |
License And Collaboration Agreement [Line Items] |  |  |  |
Upfront Payment received |  | $ 60.0 |  |
Potential milestone payments receivable |  | $ 907.5 |  |
Remaining upfront consideration |  |  | $ 14.4 |
Biogen International GmbH | Licensing Agreements |  |  |  |
License And Collaboration Agreement [Line Items] |  |  |  |
Upfront Payment received | $ 165.0 |  |  |
Development milestone payments receivable | 50.0 |  |  |
Commercial milestone payments receivable | $ 335.0 |  |  |
Percentage of development costs |  |  |  | 70.00%
Percentage of remaining development costs |  |  |  | 30.00%

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- Definition Collaborative arrangement, estimated variable consideration related to cost reimbursements for global development activities. + References No definition available. + Details
Name: | stok_CollaborativeArrangementEstimatedVariableConsiderationRelatedToCostReimbursementsForGlobalDevelopmentActivities
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Collaborative arrangement, initial transaction price. + References No definition available. + Details
Name: | stok_CollaborativeArrangementInitialTransactionPrice
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Collaborative arrangement, non refundable upfront payment. + References No definition available. + Details
Name: | stok_CollaborativeArrangementNonRefundableUpfrontPayment
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Commercial milestone payments receivable. + References No definition available. + Details
Name: | stok_CommercialMilestonePaymentsReceivable
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Development milestone payments receivable. + References No definition available. + Details
Name: | stok_DevelopmentMilestonePaymentsReceivable
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition License and collaboration agreement. + References No definition available. + Details
Name: | stok_LicenseAndCollaborationAgreementLineItems
Namespace Prefix: | stok_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Milestone payments receivable. + References No definition available. + Details
Name: | stok_MilestonePaymentsReceivable
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Percentage of development costs. + References No definition available. + Details
Name: | stok_PercentageOfDevelopmentCosts
Namespace Prefix: | stok_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | instant

X
- Definition Percentage of remaining development costs. + References No definition available. + Details
Name: | stok_PercentageOfRemainingDevelopmentCosts
Namespace Prefix: | stok_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | instant

X
- Definition Remaining upfront consideration. + References No definition available. + Details
Name: | stok_RemainingUpfrontConsideration
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Upfront consideration related to performance obligations. + References No definition available. + Details
Name: | stok_UpfrontConsiderationRelatedToPerformanceObligations
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Upfront payment received. + References No definition available. + Details
Name: | stok_UpfrontPaymentReceived
Namespace Prefix: | stok_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
Name: | us-gaap_TypeOfArrangementAxis=stok_BiogenLicenseAgreementMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | srt_CounterpartyNameAxis=stok_AcadiaPharmaceuticalsIncMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

X
- Details
Name: | srt_CounterpartyNameAxis=stok_BiogenInternationalGmbHMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |

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- Details
Name: | us-gaap_TypeOfArrangementAxis=us-gaap_LicensingAgreementsMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |