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Note 21 - Leases (Details Textual) $ in Thousands	3 Months Ended		6 Months Ended
	Dec. 31, 2021 USD ($)	Dec. 31, 2020 USD ($)	Dec. 31, 2021 USD ($)	Dec. 31, 2020 USD ($)
Lessor Asset under Operating Lease, Term (Year)	20 years
Depreciation, Lessor Asset under Operating Lease	$ 18	$ 18	$ 36	$ 36
Lessor, Sales-type Leased Assets, Number of Units	4		4
Lessor, Sales-type Lease, Weighted Average Effective Interest Rate	13.20%		13.20%
Lessor, Sales-type Lease, Weighted Average Remaining Lease Term (Year)			2 years 6 months
Minimum [Member]
Lessor, Operating Lease, Term of Contract (Month)	12 months		12 months
Lessee, Operating Lease, Renewal Term (Year)	1 year		1 year
Maximum [Member]
Lessor, Operating Lease, Term of Contract (Month)	60 months		60 months
Lessee, Operating Lease, Renewal Term (Year)	3 years		3 years

X

- Definition

Represents term for lessor asset under operating lease.

+ References

No definition available.

+ Details

Name:	trt_LessorAssetUnderOperatingLeaseTerm
Namespace Prefix:	trt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Weighted average effective interest rate for finance sales-type lease receivables.

+ References

No definition available.

+ Details

Name:	trt_LessorSalestypeLeaseWeightedAverageEffectiveInterestRate
Namespace Prefix:	trt_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Weighted average remaining lease term for finance sales-type lease receivables.

+ References

No definition available.

+ Details

Name:	trt_LessorSalestypeLeaseWeightedAverageRemainingLeaseTerm
Namespace Prefix:	trt_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The number of units under a sales-type lease arrangement.

+ References

No definition available.

+ Details

Name:	trt_LessorSalestypeLeasedAssetsNumberOfUnits
Namespace Prefix:	trt_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Term of lessee's operating lease renewal, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 20
-Section 50
-Paragraph 3
-Subparagraph (a)(3)
-URI http://asc.fasb.org/extlink&oid=123408670&loc=SL77918673-209980

+ Details

Name:	us-gaap_LesseeOperatingLeaseRenewalTerm
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Term of lessor's operating lease, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 30
-Section 50
-Paragraph 3
-Subparagraph (a)(3)
-URI http://asc.fasb.org/extlink&oid=124258985&loc=SL77919359-209981

+ Details

Name:	us-gaap_LessorOperatingLeaseTermOfContract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Amount of depreciation expense for lessor's underlying asset for which right to use has been conveyed to lessee under operating lease.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 842
-SubTopic 30
-Section 50
-Paragraph 13
-URI http://asc.fasb.org/extlink&oid=124258985&loc=SL77919398-209981

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 360
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=6391035&loc=d3e2868-110229

+ Details

Name:	us-gaap_OperatingLeasesIncomeStatementDepreciationExpenseOnPropertySubjectToOrHeldForLease
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: