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Business Risk and Credit Risk Concentration Involving Cash - Additional Information (Details) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Dec. 31, 2021 USD ($) Customer | Dec. 31, 2021 USD ($) Customer
Risks And Uncertainties [Abstract] |  |
Revenue from number of customers | Customer | 2 | 2
Federal Deposit Insurance Corporation amount per depositor | $ | $ 250 | $ 250

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- Definition Revenue from contract with customers, number of customers. + References No definition available. + Details
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Namespace Prefix: | astc_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | duration

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- Definition The amount of cash deposited in financial institutions as of the balance sheet date that is insured by the Federal Deposit Insurance Corporation. + References No definition available. + Details
Name: | us-gaap_CashFDICInsuredAmount
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- References No definition available. + Details
Name: | us-gaap_RisksAndUncertaintiesAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration