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Commitments and Contingencies - Other Commitments (Detail)	9 Months Ended
	Mar. 31, 2025
Warranty
Warranty period, maximum	1 year

X

- Definition

Warranty period maximum.

+ References

No definition available.

+ Details

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

X

- References

No definition available.

+ Details

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