Percentage investment held by the managing member or general partner of the limited liability company (LLC) or limited partnership (LP).

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 272
-SubTopic 10
-Section 50
-Paragraph 3
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482987/272-10-50-3

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

The number of real estate properties owned as of the balance sheet date.

+ References

No definition available.

+ Details

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

- Definition

Number of segments reported by the entity. A reportable segment is a component of an entity for which there is an accounting requirement to report separate financial information on that component in the entity's financial statements.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 280
-SubTopic 10
-Name Accounting Standards Codification
-Section 55
-Paragraph 47
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482785/280-10-55-47

Reference 2: http://www.xbrl.org/2003/role/exampleRef
-Topic 280
-SubTopic 10
-Name Accounting Standards Codification
-Section 55
-Paragraph 54
-Subparagraph (e)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482785/280-10-55-54

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
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-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 18
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482810/280-10-50-18

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- 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

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- Details

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Namespace Prefix:
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- Details

Name:	us-gaap_StatementBusinessSegmentsAxis=pkst_IndustrialSegmentMember
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- Details

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- Details

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Organization (Details)	9 Months Ended
Organization (Details)	Sep. 30, 2025 property segment	Dec. 31, 2024 property
Subsidiary, Sale of Stock [Line Items]
Number of properties	86
Number of reportable segments \| segment	2
Held-for-Sale
Subsidiary, Sale of Stock [Line Items]
Number of properties		0
Industrial Segment
Subsidiary, Sale of Stock [Line Items]
Number of properties	70
Industrial Segment \| Held-for-Sale
Subsidiary, Sale of Stock [Line Items]
Number of properties	0
Industrial Segment \| Operating Properties
Subsidiary, Sale of Stock [Line Items]
Number of properties	66
Industrial Segment \| Redevelopment Properties
Subsidiary, Sale of Stock [Line Items]
Number of properties	4
Office Segment
Subsidiary, Sale of Stock [Line Items]
Number of properties	16
Office Segment \| Held-for-Sale
Subsidiary, Sale of Stock [Line Items]
Number of properties	16
Office Segment \| Discontinued Operations
Subsidiary, Sale of Stock [Line Items]
Number of properties	11
GCEAR Operating Partnership
Subsidiary, Sale of Stock [Line Items]
Ownership interest (as a percent)	92.60%