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Internal-Use Software Costs - Summary of Activity Related to Capitalized Cloud Computing Implementation Costs (Details) - USD ($) $ in Thousands	3 Months Ended
	Sep. 30, 2025	Sep. 30, 2024
Property, Plant and Equipment [Abstract]
Additions to capitalized cloud computing implementation costs	$ 1,047	$ 823
Amortization	413	85
Additions to capitalized stock-based compensation expense	$ 100	$ 0

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- Definition

Capitalized cloud computing implementation costs additions to capitalized stock-based compensation costs.

+ References

No definition available.

+ Details

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- Definition

Additions to capitalized cloud computing implementation costs

+ References

No definition available.

+ Details

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Namespace Prefix:	inta_
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- Definition

Amount of amortization expense for capitalized implementation cost from hosting arrangement that is service contract.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 360
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482099/360-10-50-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-SubTopic 40
-Topic 350
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482558/350-40-50-3

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 220
-SubTopic 40
-Name Accounting Standards Codification
-Section 50
-Paragraph 22
-Subparagraph (h)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147476148/220-40-50-22

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- References

No definition available.

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