Schedule of Weighted-average Number of Shares Used in the Calculation of Basic and Diluted Earnings Per Share (Details) - shares shares in Thousands	3 Months Ended	9 Months Ended
Apr. 30, 2024	Apr. 30, 2023	Apr. 30, 2024	Apr. 30, 2023
Earnings per share attributable to IDT Corporation common stockholders:
Basic weighted-average number of shares	25,345	25,518	25,233	25,544
Stock options		7	1	9
Non-vested restricted Class B common stock	171	87	146	36
Diluted weighted-average number of shares	25,516	25,612	25,380	25,589

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Additional shares included in the calculation of diluted EPS as a result of the potentially dilutive effect of call options and warrants using the treasury stock method.

+ References

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- Definition

Number of additional shares included in diluted EPS for potentially dilutive effect of nonvested equity-based payment award containing forfeitable rights to dividends or dividend equivalents, whether paid or unpaid.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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The average number of shares or units issued and outstanding that are used in calculating diluted EPS or earnings per unit (EPU), determined based on the timing of issuance of shares or units in the period.

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Number of [basic] shares or units, after adjustment for contingently issuable shares or units and other shares or units not deemed outstanding, determined by relating the portion of time within a reporting period that common shares or units have been outstanding to the total time in that period.

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