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Net Earnings Per Share (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Earnings Per Share [Abstract]      
Net income attributable to Magic shareholders $ 20,266 $ 19,883 $ 15,442
Accretion of redeemable non-controlling interests (7,471) (1,726)
Net income attributable to Magic shareholders after accretion of redeemable non-controlling interests $ 12,795 $ 18,157 $ 15,442
Weighted average Ordinary shares outstanding:      
Denominator for basic net earnings per share 48,896,163 46,665,042 44,435,671
Effect of dilutive securities 97,920 131,648 161,548
Denominator for diluted net earnings per share 48,994,083 46,796,690 44,597,219
Basic and Diluted earnings per share $ 0.26 $ 0.39 $ 0.35