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An organization determined most of its sales only occurred after at least $4$ contacts. However, $44\%$ of its salespeople gave up on a customer after the $1$st contact didn't make a sale. Of the remaining salespeople, $40\%$ gave up after the $2$nd contact. Finally, $41\%$ of the salespeople who made a $3$rd contact gave up when that call did not make a sale. To the nearest percent, what percent of the original salespeople made $4$ or more contacts if the first $3$ contacts did not result in sales? (Round to the nearest percent. Ignore the $\%$ symbol when entering your answer. For example, if the answer is $\%$, enter $\%$.)