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Revenue Recognition - Additional Information (Details) | 6 Months Ended
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Dec. 31, 2021 Source
Revenue From Contract With Customer [Abstract] |
Number of revenue resources | 2

X
- Definition Number of revenue resources. + References No definition available. + Details
Name: | astc_NumberOfRevenueResources
Namespace Prefix: | astc_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | duration

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