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Selected Statements of Income Data (Details) - Schedule of Computation of B asic and Diluted Net Earnings Per Share - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
Schedule of Computation of B asic and Diluted Net Earnings Per Share [Line Items]
Net income attributable to Magic shareholders (in Dollars)	$ 37,031	$ 40,470	$ 29,767
Basic earnings per share - weighted average shares outstanding	49,095,760	49,089,044	49,055,082
Effect of dilutive securities	2,660	42,267	44,972
Diluted earnings per share – adjusted weighted average shares outstanding	49,098,420	49,131,311	49,100,054
Basic and diluted net earnings per share (in Dollars per share)	$ 0.75	$ 0.82	$ 0.61

X

- Definition

The weighted average number of ordinary shares outstanding plus the weighted average number of ordinary shares that would be issued on the conversion of all the dilutive potential ordinary shares into ordinary shares. [Refer: Ordinary shares [member]; Weighted average [member]]

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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-IssueDate 2023-01-01
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- Definition

The amount of profit (loss) attributable to ordinary equity holders of the parent entity (the numerator) divided by the weighted average number of ordinary shares outstanding during the period (the denominator).

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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-IssueDate 2023-01-01
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Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Name IAS
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-URIDate 2023-03-23

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- Definition

The number of ordinary shares outstanding at the beginning of the period, adjusted by the number of ordinary shares bought back or issued during the period multiplied by a time-weighting factor.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Name IAS
-Number 33
-IssueDate 2023-01-01
-Paragraph 70
-Subparagraph b
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- Definition

Number of shares effect of dilutive securities.

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- Definition

Net income attributable to magic shareholders.

+ References

No definition available.

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- References

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