Stock-Based Compensation - Performance-Based Restricted Stock Unit Grants (Details)	9 Months Ended	12 Months Ended
Jun. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]
Performance-based awards granted, percentage (as a percent)	100.00%	100.00%	100.00%
Performance-based awards granted, percentage, maximum threshold met (as a percent)	200.00%	200.00%	200.00%
Performance goal measurement period (in years)	3 years

Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Percentage of Performance-based Units Awarded, Financial Metric, Maximum Threshold Met.

No definition available.

Name:	azta_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsPercentageOfPerformanceBasedUnitsAwardedFinancialMetricMaximumThresholdMet
Namespace Prefix:	azta_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration