Question

36% of what number is 18? SHOW YOUR WORK

Answer 1

36% of 50 is 18

Change the percentage into a decimal by dividing by 100:
$\frac{36}{100} = 0.36$

Divide 18 by the decimal:
$\frac{18}{0.36} = 50$

Answer 2

In order to solve this, we must first transform the percentage into a decimal. We can do this by either dividing it by 100, or (my personal shortcut) just shifting the decimal point over 2 places to the left.

36% = 0.36

Now, we just divide 18 by the decimal to find out what the original number was.

18 / 0.36 = 50

So 36% of 50 is 18.

Let's check our work. To check, we just need to multiply 0.36 * 50, since the word 'of' in mathematics always implies multiplication. 

0.36 * 50 = 18

So our work was correct.
36% of 50 is 18.
Hope that helped =)