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Leases - Assets Obtained in Exchange for Lease Liabilities (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
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Mar. 31, 2023 | Mar. 31, 2022 | Mar. 31, 2023 | Mar. 31, 2022
Lessee Disclosure [Abstract] |  |  |  |
ROU assets obtained in exchange for lease liabilities, operating leases, net | $ 7,230 | $ 7,327 | $ 6,464 | $ 7,490
ROU assets obtained in exchange for lease liabilities, finance leases | $ 270 |  | $ 1,060 |

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- Definition Right-of-Use Asset Obtained in Exchange for Operating Lease Liability, Net + References No definition available. + Details
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Namespace Prefix: | azta_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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

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- Definition Amount of increase in right-of-use asset obtained in exchange for finance lease liability. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 55 -Paragraph 53 -URI https://asc.fasb.org/extlink&oid=123414884&loc=SL77918982-209971 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 842 -SubTopic 20 -Section 50 -Paragraph 4 -Subparagraph (g)(2) -URI https://asc.fasb.org/extlink&oid=128292326&loc=SL77918686-209980 + Details
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Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
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