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Leases - Supplemental Cash Flow Information Related to Operating Leases (Details) - USD ($) $ in Thousands | 9 Months Ended
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Mar. 31, 2026 | Mar. 31, 2025
Leases [Abstract] |  |
Cash payments included in the measurement of operating lease liabilities | $ 5,971 | $ 5,033
ROU assets obtained in exchange for new operating lease liabilities | $ 3,107 | $ (419)

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- Definition Increase (decrease) right of use asset obtained in exchange for operating lease liability. + References No definition available. + Details
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Namespace Prefix: | inta_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | us-gaap_LeasesAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Amount of cash outflow from operating lease, excluding payments to bring another asset to condition and location necessary for its intended use. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 842 -SubTopic 20 -Name Accounting Standards Codification -Section 45 -Paragraph 5 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org/1943274/2147479041/842-20-45-5 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 842 -SubTopic 20 -Name Accounting Standards Codification -Section 50 -Paragraph 4 -Subparagraph (g)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147478964/842-20-50-4 + Details
Name: | us-gaap_OperatingLeasePayments
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration