Note 3 - Term Deposits - Term Deposits (Details) - USD ($) $ in Thousands	Sep. 30, 2024	Jun. 30, 2024	Sep. 30, 2023
Short-term deposits	$ 6,121	$ 6,540
Currency translation effect on short-term deposits	388	(43)
Total short-term deposits	6,509	6,497
Restricted term deposits - Current	759	750
Currency translation effect on restricted term deposits	45	0
Total restricted term deposits - Current	804	750
Restricted term deposits – Non-current	1,773	1,773
Currency translation effect on restricted term deposits	125	(2)
Total restricted term deposits - Non-current	1,898	1,771	$ 1,719
Total term deposits	$ 9,211	$ 9,018

Represents effect of current restricted term deposits for currency translation.

No definition available.

Name:	trt_CurrencyTranslationEffectRestrictedTermDepositsCurrent
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Represents the effect of noncurrent restricted term deposits for currency translation.

+ References

No definition available.

+ Details

Name:	trt_CurrencyTranslationEffectRestrictedTermDepositsNoncurrent
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Represents currency translation effect short term deposit.

+ References

No definition available.

+ Details

Name:	trt_CurrencyTranslationEffectShortTermDeposit
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Represents current restricted deposits asset.

+ References

No definition available.

+ Details

Name:	trt_DepositAssetsRestrictedCurrent
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Represents the amount of noncurrent restricted deposit assets.

+ References

No definition available.

+ Details

Name:	trt_DepositAssetsRestrictedNoncurrent
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Represents short-term depoist.

+ References

No definition available.

+ Details

Name:	trt_ShortTermDeposit
Namespace Prefix:	trt_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

The carrying amount of the asset transferred to a third party to serve as a deposit, which typically serves as security against failure by the transferor to perform under terms of an agreement.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(17))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_DepositAssets
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

Carrying value of amounts transferred to third parties for security purposes that are expected to be returned or applied towards payment within one year or during the operating cycle, if shorter.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(8))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

+ Details

Name:	us-gaap_DepositsAssetsCurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

This element represents the current portion of investments which are not defined as or included in marketable (debt, equity, or other) securities that are pledged or subject to withdrawal restrictions.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 954
-SubTopic 210
-Name Accounting Standards Codification
-Section 45
-Paragraph 4
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147477220/954-210-45-4

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 954
-SubTopic 210
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478600/954-210-50-2

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 944
-SubTopic 210
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-03(a)(1)(4))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478777/944-210-S99-1

+ Details

Name:	us-gaap_RestrictedInvestmentsCurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant

- Definition

This element represents the noncurrent portion of investments which are not defined as or included in marketable (debt, equity, or other) securities that are pledged or subject to withdrawal restrictions.

+ References

+ Details

Name:	us-gaap_RestrictedInvestmentsNoncurrent
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	instant