13 is what percent of 33.3 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 33.3 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 33.3, so we can write it down as 100%=33.3.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=33.3
2) x%=13
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=33.3/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 33.3

100%/x%=33.3/13
(100/x)*x=(33.3/13)*x       - we multiply both sides of the equation by x
100=2.5615384615385*x       - we divide both sides of the equation by (2.5615384615385) to get x
100/2.5615384615385=x
39.039039039039=x
x=39.039039039039

now we have:
13 is 39.039039039039% of 33.3