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Revision of Previously Issued Financial Statements (Details) - USD ($)	Sep. 30, 2022	Jun. 30, 2022
Condensed Financial Information Disclosure [Abstract]
Accounts payable		$ 205,869
Operational costs	$ 205,869

X

- Definition

The adjustment to expense previously capitalized costs of operational costs.

+ References

No definition available.

+ Details

Name:	fact_OperationalCosts
Namespace Prefix:	fact_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- References

No definition available.

+ Details

Name:	srt_CondensedFinancialInformationOfParentCompanyOnlyDisclosureAbstract
Namespace Prefix:	srt_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of obligations incurred classified as other, payable within one year or the normal operating cycle, if longer.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.19(a))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ Details

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