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Note 1 - Basis of Presentation (Details Textual)	3 Months Ended
	Sep. 30, 2021 USD ($) $ / shares	Oct. 31, 2021 USD ($)	Jun. 30, 2021 € / shares	Dec. 31, 2020 € / shares
Common Stock, Par or Stated Value Per Share (in dollars per share) | € / shares			€ 0.01	€ 0.01
Forecast [Member] | Mosing Holdings [Member] | Affiliated Entity [Member]
Tax Receivable Agreement, Cash Payment for Settlement of Early Termination Payment Obligation	$ 15,000,000
Tax Receivable Agreement, Condition of Early Termination Payment Obligation Settlement, Period Over Which Future Contingent Payments May Be Made (Year)	10 years
Tax Receivable Agreement, Condition of Early Termination Payment Obligation Settlement, Future Contingent Payments, Cash Tax Savings Threshold	$ 18,057,000
Forecast [Member] | Merger with Expro [Member]
Merger Exchange Ratio	7.2720
Merger, Percentage of Post-merger Stock of Combined Company Owned By Reporting Entity Shareholders	35.00%
Merger, Percentage of Post-merger Stock of Combined Company Owned By the Other Entity's Shareholders	65.00%
Potential Termination of Merger Agreement Under Specified Circumstances, Potential Termination Fee Payable		$ 37,500,000
Potential Termination of Merger Agreement Under Specified Circumstances, Potential Termination Fee Receivable		$ 71,500,000
Expro [Member] | Forecast [Member]
Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares	$ 0.01

X

- Definition

Represents the exchange ratio associated with a merger of the reporting entity with another entity. The exchange ratio is the number of shares of the reporting entity's common stock received by the shareholders of the other entity for each ordinary share of the other entity.

+ References

No definition available.

+ Details

Name:	fi_MergerExchangeRatio
Namespace Prefix:	fi_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Represents the percentage of the combined company, following the merger, owned by shareholders of the reporting entity.

+ References

No definition available.

+ Details

Name:	fi_MergerPercentageOfPostMergerStockOfCombinedCompanyOwnedByReportingEntityShareholders
Namespace Prefix:	fi_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Represents the percentage of the combined company, following the merger, owned by shareholders of the entity other than the reporting entity.

+ References

No definition available.

+ Details

Name:	fi_MergerPercentageOfPostMergerStockOfCombinedCompanyOwnedByTheOtherEntitysShareholders
Namespace Prefix:	fi_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Fee to potentially be paid to the other party if the merger agreement is terminated by the reporting entity.

+ References

No definition available.

+ Details

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

X

- Definition

Fee to potentially be received from the other party if the merger agreement is terminated by the other party.

+ References

No definition available.

+ Details

Name:	fi_PotentialTerminationOfMergerAgreementUnderSpecifiedCircumstancesPotentialTerminationFeeReceivable
Namespace Prefix:	fi_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

X

- Definition

Represents the amount of cash payment for settlement of early termination payment obligation in connection with a tax receivable agreement.

+ References

No definition available.

+ Details

Name:	fi_TaxReceivableAgreementCashPaymentForSettlementOfEarlyTerminationPaymentObligation
Namespace Prefix:	fi_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Represents the cash savings threshold which, if reached, will trigger future contingent payments to be made as a condition of the settlement of the early termination payment obligation in connection with a tax receivable agreement.

+ References

No definition available.

+ Details

Name:	fi_TaxReceivableAgreementConditionOfEarlyTerminationPaymentObligationSettlementFutureContingentPaymentsCashTaxSavingsThreshold
Namespace Prefix:	fi_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Represents the period of time over which future contingent payments might be made as a condition of the settlement of the early termination payment obligation in connection with a tax receivable agreement.

+ References

No definition available.

+ Details

Name:	fi_TaxReceivableAgreementConditionOfEarlyTerminationPaymentObligationSettlementPeriodOverWhichFutureContingentPaymentsMayBeMade
Namespace Prefix:	fi_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Face amount or stated value per share of common stock.

+ 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(29))
-URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

+ Details

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Namespace Prefix:	us-gaap_
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Balance Type:	na
Period Type:	instant

X

- Details

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Namespace Prefix:
Data Type:	na
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Period Type:

X

- Details

Name:	srt_CounterpartyNameAxis=fi_MosingHoldingsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RelatedPartyTransactionsByRelatedPartyAxis=srt_AffiliatedEntityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_BusinessAcquisitionAxis=fi_MergerWithExproMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	dei_LegalEntityAxis=fi_ExproMember
Namespace Prefix:
Data Type:	na
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Period Type: