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Commitments and Contingencies - Summary of Lease Balances (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Dec. 31, 2021
Commitments And Contingencies Disclosure [Abstract]
Operating lease right-of-use assets	$ 4,753	$ 4,939
Current portion of operating lease liabilities	$ 2,359	$ 1,507
Operating Lease Liability Current Statement Of Financial Position Extensible List	Liabilities Current	Liabilities Current
Non-current portion of operating lease liabilities	$ 2,717	$ 3,532
Operating Lease Liability Noncurrent Statement Of Financial Position Extensible List	Other long term liabilities	Other long term liabilities
Total operating lease liabilities	$ 5,076	$ 5,039

X

- Definition

Operating lease liability excluding leases entered access yet to be granted.

+ References

No definition available.

+ Details

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Namespace Prefix:	stok_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

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- References

No definition available.

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Namespace Prefix:	us-gaap_
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X

- Definition

Present value of lessee's discounted obligation for lease payments from operating lease, classified as current.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 45
-Paragraph 1
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=123391704&loc=SL77918627-209977

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Indicates line item in statement of financial position that includes current operating lease liability.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 45
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=123391704&loc=SL77918631-209977

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X

- Definition

Present value of lessee's discounted obligation for lease payments from operating lease, classified as noncurrent.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 45
-Paragraph 1
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=123391704&loc=SL77918627-209977

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X

- Definition

Indicates line item in statement of financial position that includes noncurrent operating lease liability.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 45
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=123391704&loc=SL77918631-209977

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X

- Definition

Amount of lessee's right to use underlying asset under operating lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 45
-Paragraph 1
-Subparagraph (a)
-URI https://asc.fasb.org/extlink&oid=123391704&loc=SL77918627-209977

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