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Note 16 - Other Income (Details Textual) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Dec. 31, 2021 | Dec. 31, 2020 | Dec. 31, 2021 | Dec. 31, 2020
Government Grant | $ 28 | $ 106 | $ 98 | $ 260
Other Nonoperating Income (Expense) [Member] |  |  |  |
Government Grant | $ 19 |  |  |
Government Grant, Foreign, COVID-19 Relief Income |  |  | $ 61 | $ 243
Government Grant, Foreign |  | $ 101 |  |

X
- Definition Represents government grant. + References No definition available. + Details
Name: | trt_GovernmentGrant
Namespace Prefix: | trt_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Represents grant received from a foreign government. + References No definition available. + Details
Name: | trt_GovernmentGrantForeign
Namespace Prefix: | trt_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Represents grant received from a foreign government. + References No definition available. + Details
Name: | trt_GovernmentGrantForeignCovid19ReliefIncome
Namespace Prefix: | trt_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Details
Name: | us-gaap_IncomeStatementLocationAxis=us-gaap_OtherNonoperatingIncomeExpenseMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |