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Stock-based Compensation - Narrative (Details) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Jan. 31, 2023 USD ($) | Jan. 31, 2022 USD ($) | Jan. 31, 2023 USD ($) day shares | Jan. 31, 2022 USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Shares available for calculating intrinsic value (in shares) | shares |  |  | 13,689,922 |
Deferred compensation arrangement with individual - requisite service period |  |  | 5 years |
Cost not yet recognized, period for recognition |  |  | 5 years |
Total stock-based compensation | $ 10,131 | $ 9,662 | $ 20,323 | $ 19,114
Share-based Payment Arrangement, Tranche One |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Share-based compensation arrangement by share-based payment award, award vesting rights, percentage |  |  | 20.00% |
Employee Stock Option |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Share-based payment arrangement, nonvested award, option, cost not yet recognized, amount | $ 48,400 |  | $ 48,400 |
Total stock-based compensation |  |  | $ 6,500 | $ 4,600
Employee Stock Option | Valuation Technique, Option Pricing Model |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Risk free interest rate, minimum |  |  | 0.71% |
Risk free interest rate, maximum |  |  | 3.57% |
Expected volatility, minimum |  |  | 25.20% |
Expected volatility, maximum |  |  | 29.30% |
Expected dividend rate |  |  | 0.00% |
Employee Stock Option | Share-based Payment Arrangement, Tranche Two |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Award vesting period |  |  | 4 years |
Option, Market Based |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Percent of exercise price |  |  | 125.00% |
Consecutive trading days | day |  |  | 20 |
Restricted Stock | Minimum |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Award vesting period |  |  | 2 years |
Restricted Stock | Maximum |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Award vesting period |  |  | 5 years |

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- Definition Additional shares included in the calculation of diluted EPS as a result of the potentially dilutive effect of contingently issuable shares. Contingently issuable shares are those shares that are issuable for little or no cash contingent on certain conditions being met. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 54 -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e2603-109256 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=124432515&loc=d3e3550-109257 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 44 -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e2062-109256 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 26 -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e1828-109256 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 53 -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e2600-109256 Reference 6: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 52 -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e2597-109256 Reference 7: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 48 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e2538-109256 Reference 8: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 48 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e2538-109256 Reference 9: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 23 -Subparagraph (c) -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e1757-109256 Reference 10: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 260 -SubTopic 10 -Section 45 -Paragraph 51 -URI https://asc.fasb.org/extlink&oid=126958026&loc=d3e2574-109256 + Details
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- Definition The estimated measure of the maximum 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. + References No definition available. + Details
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