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General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated
Dec. 31, 2021
Dec. 31, 2020
Matrix [Member]    
General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated [Line Items]    
Percentage of ownership 48.92% 49.28%
Sapiens [Member]    
General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated [Line Items]    
Percentage of ownership 43.64% 43.96%
Magic Software [Member]    
General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated [Line Items]    
Percentage of ownership 45.59% 45.53%
Insync [Member]    
General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated [Line Items]    
Percentage of ownership 90.09% 90.09%
Michpal [Member]    
General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated [Line Items]    
Percentage of ownership 100.00% 100.00%
TSG [Member]    
General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated [Line Items]    
Percentage of ownership [1] 50.00% 50.00%
Ofek [Member]    
General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated [Line Items]    
Percentage of ownership 80.00% 86.02%
ZAP Group [Member]    
General (Details) - Schedule of the following table presents the ownership of Formula’s directly held investees as of the dates indicated [Line Items]    
Percentage of ownership 100.00%
[1] TSG’s results of operations are reflected in the Company’s results of operations using the equity method of accounting.