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Note 18 - Other Income - Summary of Other Income (Details) - USD ($) $ in Thousands	12 Months Ended
	Jun. 30, 2025	Jun. 30, 2024
Interest income	$ 314	$ 370
Other rental income	138	127
Exchange loss	(671)	(74)
Other miscellaneous income	38	77
Total	$ (181)	$ 500

X

- Definition

Represents effect of exchange rate on other income.

+ References

No definition available.

+ Details

Name:	trt_EffectOfExchangeRateOnOtherIncome
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Represents other rental incoem.

+ References

No definition available.

+ Details

Name:	trt_OtherRentalIncome
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

The amount of interest income and other income recognized during the period. Included in this element is interest derived from investments in debt securities, cash and cash equivalents, and other investments which reflect the time value of money or transactions in which the payments are for the use or forbearance of money and other income from ancillary business-related activities (that is, excluding major activities considered part of the normal operations of the business).

+ References

No definition available.

+ Details

Name:	us-gaap_InterestAndOtherIncome
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Amount of revenue and income classified as other.

+ References

Reference 1: http://www.xbrl.org/2003/role/exampleRef
-Topic 944
-SubTopic 605
-Name Accounting Standards Codification
-Section 55
-Paragraph 14
-Publisher FASB
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+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- Definition

Amount of income related to nonoperating activities, classified as other.

+ References

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-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03(7)(d))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483621/220-10-S99-2

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration