Can someone check my work plz!!!

CSet up the following word problem as a proportion and solve. Then write your answer as a complete sentence.

A health department estimates that 8 vials of malaria serum will treat 100 people. At this rate, how many vials are required to treat 175 people?

Answer:

If 8 vials will treat 100 people 8 divided by 100 equals 12.5 the 12.4 divided by 175 equals 14.

So the final answer is 14.