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Summary of Business and Significant Accounting Policies - Revenue Recognition (Details) - category	3 Months Ended
	Sep. 30, 2023	Sep. 30, 2022
Summary of Business and Significant Accounting Policies
Number of revenue categories	2	2
Revenue payment term, minimum	30 days
Revenue payment term, maximum	45 days

X

- Definition

The number of categories comprising revenue.

+ References

No definition available.

+ Details

Name:	egan_NumberOfRevenueCategories
Namespace Prefix:	egan_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Represents the maximum revenue payment term.

+ References

No definition available.

+ Details

Name:	egan_RevenuePaymentTermMaximum
Namespace Prefix:	egan_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Represents the minimum revenue payment term.

+ References

No definition available.

+ Details

Name:	egan_RevenuePaymentTermMinimum
Namespace Prefix:	egan_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

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