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Note 20 - Income Taxes (Details Textual) - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Jun. 30, 2022 | Jun. 30, 2021
SEC Schedule, 12-09, Valuation Allowances and Reserves, Period Increase (Decrease), Total | $ (220) | $ 667
Domestic Tax Authority [Member] |  |
Operating Loss Carryforwards, Subject to Expiration | 0 |
State and Local Jurisdiction [Member] |  |
Operating Loss Carryforwards, Subject to Expiration | $ 1,940 |

X
- Definition Amount of operating loss carryforwards that are subject to expiration. + References No definition available. + Details
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Namespace Prefix: | trt_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Amount of increase (decrease) in valuation and qualifying accounts and reserves. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 4 -Subparagraph (SX 210.12-09) -URI https://asc.fasb.org/extlink&oid=120395691&loc=d3e24092-122690 + Details
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- Details
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Namespace Prefix: |
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Balance Type: |
Period Type: |

X
- Details
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Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |