Equity-Based Compensation - Schedule of Share-Based Payment Award, Black-Scholes Options, Valuation Assumptions (Details) - 2021 Equity Incentive Plan - Stock Options |
9 Months Ended | |
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Apr. 30, 2024 |
Apr. 30, 2023 |
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| Share-based Compensation Arrangement by Share-based Payment Award [Line Items] | ||
| Expected term (in years) | 6 years 2 months 19 days | 6 years 2 months 23 days |
| Expected dividend yield (percent) | 0.00% | 0.00% |
| Risk-free interest rate (percent) | 3.96% | |
| Expected volatility (percent) | 30.90% | 33.90% |
| Minimum | ||
| Share-based Compensation Arrangement by Share-based Payment Award [Line Items] | ||
| Risk-free interest rate (percent) | 4.09% | |
| Maximum | ||
| Share-based Compensation Arrangement by Share-based Payment Award [Line Items] | ||
| Risk-free interest rate (percent) | 4.55% | |
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- Definition The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition The risk-free interest rate assumption that is used in valuing an option on its own shares. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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- Definition Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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