I know the answer to this but I am having trouble getting to it. The "MORE than 15.6%" phrase is the part that is tripping me up. If it would be just a straight 15.6%, the answer would be 31 oranges. But the actual answer to this problem is 34 oranges. Please help.

A man bought oranges at 20 cents each. When he opened the box he noticed that more than 15.6% were bad. He went on to sell the good oranges for 35 cents each. He made a profit of exactly $19. How many oranges were bad?