$\frac{3}{5}$ parts of the total population of a village are literate, what is the percent of literate population?

Given: $\frac{3}{5}$ parts of the total population of a village are literate.

To find: We have to find the percent of the literate population.

Solution: 

Let the total population of village be = a

So,

Total literate population = $\frac{3}{5} \ a$

Now,

$Percent\ of\ literate\ population\ =\ \frac{Total\ literate\ population}{Total\ population\ of\ the\ village} \ \times \ 100\ \ \%$

$Percent\ of\ literate\ population\ =\ \frac{\frac{3}{5} \ a}{a} \ \times \ 100\ \ \%$

$Percent\ of\ literate\ population\ =\ \frac{3}{5} \ \times \ 100\ \ \%$

$Percent\ of\ literate\ population\ =\ 3\ \times \ 20\ \ \%$

$\mathbf{Percent\ of\ literate\ population\ =\ 60\ \%}$