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Summary of Business and Significant Accounting Policies - Revenue Recognition (Details) - category | 6 Months Ended
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Dec. 31, 2024 | Dec. 31, 2023
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