Accumulated Depreciation, Depletion and Amortization, Property, Plant, and Equipment, Leasing Equipment

No definition available.

Name:	fip_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipmentLeasingEquipment
Namespace Prefix:	fip_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

Property, Plant and Equipment, Leasing Equipment

+ References

No definition available.

+ Details

Name:	fip_PropertyPlantAndEquipmentLeasingEquipment
Namespace Prefix:	fip_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Property, Plant and Equipment, Leasing Equipment, Gross,

+ References

No definition available.

+ Details

Name:	fip_PropertyPlantAndEquipmentLeasingEquipmentGross
Namespace Prefix:	fip_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

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

- Definition

The amount of expense recognized in the current period that reflects the allocation of the cost of tangible assets over the assets' useful lives. Includes production and non-production related depreciation.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (b)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-28

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 360
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482099/360-10-50-1

+ Details

Name:	us-gaap_Depreciation
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Amount of interest income from net investment in sales-type lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 270
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 6A
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482964/270-10-50-6A

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 30
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
-Subparagraph (a)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479773/842-30-50-5

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 842
-SubTopic 30
-Name Accounting Standards Codification
-Section 25
-Paragraph 2
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479341/842-30-25-2

+ Details

Name:	us-gaap_SalesTypeLeaseInterestIncome
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Amount of profit (loss) recognized at commencement from sales-type lease.

+ References

+ Details

Name:	us-gaap_SalesTypeLeaseSellingProfitLoss
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Details

Name:	srt_MajorCustomersAxis=fip_JeffersonTerminalMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_PropertyPlantAndEquipmentByTypeAxis=fip_LeasingEquipmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

LEASING EQUIPMENT, NET (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended	9 Months Ended
LEASING EQUIPMENT, NET (Details) - USD ($) $ in Thousands	Sep. 30, 2024	Sep. 30, 2023	Jun. 30, 2024	Sep. 30, 2024	Sep. 30, 2023	Dec. 31, 2023
Leases [Line Items]
Leasing equipment, net	$ 36,173			$ 36,173		$ 35,587
Jefferson Terminal
Leases [Line Items]
Sales-type Lease, Interest Income	200			600
Sales-type Lease, Selling Profit (Loss)			$ 6,600
Sales-type Lease, Interest Income	200			600
Sales-type Lease, Selling Profit (Loss)			$ 6,600
Leasing Equipment
Leases [Line Items]
Leasing equipment	47,600			47,600		45,982
Less: Accumulated depreciation	(11,427)			(11,427)		(10,395)
Leasing equipment, net	36,173			36,173		$ 35,587
Depreciation expense for leasing equipment	$ 364	$ 276		$ 1,040	$ 828