| Label | Element | Value |
|---|---|---|
| Temporary Equity, Shares Exchanged, Value, Reverse Recapitalization | flyx_TemporaryEquitySharesExchangedValueReverseRecapitalization | $ 42,431,000 |
| Stock Issued During Period, Value, New Issues | us-gaap_StockIssuedDuringPeriodValueNewIssues | 37,452,000 |
| Stock Issued During Period, Value, Conversion of Convertible Securities | us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities | 95,503,000 |
| APIC, Share-Based Payment Arrangement, Increase for Cost Recognition | us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue | 882,000 |
| Adjustments To Additional Paid In Capital, Contingent Consideration, Reverse Recapitalization | flyx_AdjustmentsToAdditionalPaidInCapitalContingentConsiderationReverseRecapitalization | 3,324,000 |
| Adjustments To Additional Paid In Capital, Reclassification Of Obligation, Reverse Recapitalization | flyx_AdjustmentsToAdditionalPaidInCapitalReclassificationOfObligationReverseRecapitalization | 3,324,000 |
| Retained Earnings [Member] | ||
| Stock Issued During Period, Value, New Issues | us-gaap_StockIssuedDuringPeriodValueNewIssues | (80,755,000) |
| Member Units [Member] | ||
| Stock Issued During Period, Value, New Issues | us-gaap_StockIssuedDuringPeriodValueNewIssues | 80,748,000 |
| Parent [Member] | ||
| Stock Issued During Period, Value, New Issues | us-gaap_StockIssuedDuringPeriodValueNewIssues | 37,452,000 |
| Stock Issued During Period, Value, Conversion of Convertible Securities | us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities | 95,503,000 |
| APIC, Share-Based Payment Arrangement, Increase for Cost Recognition | us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue | 882,000 |
| Adjustments To Additional Paid In Capital, Contingent Consideration, Reverse Recapitalization | flyx_AdjustmentsToAdditionalPaidInCapitalContingentConsiderationReverseRecapitalization | 3,324,000 |
| Adjustments To Additional Paid In Capital, Reclassification Of Obligation, Reverse Recapitalization | flyx_AdjustmentsToAdditionalPaidInCapitalReclassificationOfObligationReverseRecapitalization | 3,324,000 |
| Additional Paid-in Capital [Member] | ||
| Stock Issued During Period, Value, New Issues | us-gaap_StockIssuedDuringPeriodValueNewIssues | 37,452,000 |
| Stock Issued During Period, Value, Conversion of Convertible Securities | us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities | 95,502,000 |
| APIC, Share-Based Payment Arrangement, Increase for Cost Recognition | us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue | 882,000 |
| Adjustments To Additional Paid In Capital, Contingent Consideration, Reverse Recapitalization | flyx_AdjustmentsToAdditionalPaidInCapitalContingentConsiderationReverseRecapitalization | 3,324,000 |
| Adjustments To Additional Paid In Capital, Reclassification Of Obligation, Reverse Recapitalization | flyx_AdjustmentsToAdditionalPaidInCapitalReclassificationOfObligationReverseRecapitalization | $ 3,324,000 |
| Common Class A [Member] | Common Stock [Member] | ||
| Stock Issued During Period, Shares, New Issues | us-gaap_StockIssuedDuringPeriodSharesNewIssues | 7,027,255 |
| Stock Issued During Period, Value, New Issues | us-gaap_StockIssuedDuringPeriodValueNewIssues | $ 1,000 |
| Stock Issued During Period, Value, Conversion of Convertible Securities | us-gaap_StockIssuedDuringPeriodValueConversionOfConvertibleSecurities | $ 1,000 |
| Common Class B [Member] | Common Stock [Member] | ||
| Stock Issued During Period, Shares, New Issues | us-gaap_StockIssuedDuringPeriodSharesNewIssues | 60,000,000 |
| Stock Issued During Period, Value, New Issues | us-gaap_StockIssuedDuringPeriodValueNewIssues | $ 6,000 |