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Note 15 - Other (Expense) Income - Other Income (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Mar. 31, 2025	Mar. 31, 2024	Mar. 31, 2025	Mar. 31, 2024
Interest income	$ 74	$ 88	$ 257	$ 262
Other rental income	29	29	109	101
Exchange (loss) / gain	(251)	113	(207)	(64)
Other miscellaneous income	4	22	18	67
Total	$ (144)	$ 252	$ 177	$ 366

X

- Definition

Represents effect of exchange rate on other income.

+ References

No definition available.

+ Details

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

X

- Definition

Represents other rental incoem.

+ References

No definition available.

+ Details

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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

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

X

- Definition

Amount of revenue and income classified as other.

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Balance Type:	credit
Period Type:	duration

X

- Definition

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

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-SubTopic 10
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