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Note 15 - Other Income (Details Textual) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Mar. 31, 2022 | Mar. 31, 2021 | Mar. 31, 2022 | Mar. 31, 2021
Government Grant | $ 62 | $ 152 | $ 160 | $ 412
Other Nonoperating Income (Expense) [Member] |  |  |  |
Government Grant | $ 0 |  |  |
Government Grant, Foreign, COVID-19 Relief Income |  | $ 107 | $ 61 | $ 350

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_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: |