Monica is a manufacturer of handcrafted wooden signs. The variable cost of each wooden sign Monica produces is $$40.$ Monica sells her wooden signs to a wholesaler at a $50\%$ margin, who then sells the wooden signs to the retailer at an undisclosed markup$(\%).$ The retailer then adds a $30\%$ margin and sells the product to the consumer at $$160.$ Based on this information, what is the markup $(\%)$ of the wholesaler?