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Income Taxes (Details) $ in Millions	6 Months Ended
	Dec. 31, 2022 USD ($)
Income Taxes
GILTI income	$ 7.9

X

- Definition

The amount of global intangible low-taxed income (GILTI) of foreign subsidiaries taxable under provisions of the Tax Cuts and Jobs Act of 2017.

+ References

No definition available.

+ Details

Name:	egan_TaxCutsAndJobsActOf2017GlobalIntangibleLowTaxedIncome
Namespace Prefix:	egan_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

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- References

No definition available.

+ Details

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