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Income Taxes (Details) | 3 Months Ended
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Nov. 30, 2022 | Nov. 30, 2021
Income Tax Disclosure [Abstract] |  |
Estimated federal statutory income tax rate | 5.80% | 12.30%

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- Definition Effective Income Tax Rate Reconciliation Before Discreet Items, Percent + References No definition available. + Details
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Namespace Prefix: | ango_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | duration

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