Equity Award Plans (Valuation Assumptions) (Details) - PSUs subject to service, performance, and market conditions - $ / shares |
3 Months Ended | |
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Oct. 31, 2024 |
Oct. 31, 2023 |
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| Share-based Compensation Arrangement by Share-based Payment Award | ||
| Dividend yield | 0.00% | 0.00% |
| Risk-free interest rate, minimum | 3.70% | 4.90% |
| Risk-free interest rate, maximum | 4.50% | 5.30% |
| Minimum | ||
| Share-based Compensation Arrangement by Share-based Payment Award | ||
| Volatility | 44.10% | 40.80% |
| Expected term (in years) | 1 year | 10 months 24 days |
| Grant-date fair value per share (in usd per share) | $ 529.01 | $ 346.92 |
| Maximum | ||
| Share-based Compensation Arrangement by Share-based Payment Award | ||
| Volatility | 47.60% | 43.40% |
| Expected term (in years) | 2 years 10 months 24 days | 2 years 10 months 24 days |
| Grant-date fair value per share (in usd per share) | $ 611.65 | $ 394.63 |
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- Definition Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other Than Options, Grant Date Fair Value No definition available.
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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 maximum risk-free interest rate assumption that is used in valuing an option on its own shares. No definition available.
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- Definition The minimum risk-free interest rate assumption that is used in valuing an option on its own shares. No definition available.
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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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