Question

In a recent year, 21.3% of all registered doctors were female. If there were 46,700 female registered doctors that year, what was the total number of registered
doctors?

Answer 1

Let

x = number of registered doctors

It's known that 21.3% of all registered doctors were female, that is:

21.3% of x were female, or:

21.3/100 x = 0.213x

We are given this number of female doctors, thus:

0.213x = 46,700

Dividing by 0.