13 is what percent of 34.7 - 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 34.7 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 34.7, so we can write it down as 100%=34.7.
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%=34.7
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%=34.7/13
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 34.7

100%/x%=34.7/13
(100/x)*x=(34.7/13)*x       - we multiply both sides of the equation by x
100=2.6692307692308*x       - we divide both sides of the equation by (2.6692307692308) to get x
100/2.6692307692308=x
37.463976945245=x
x=37.463976945245

now we have:
13 is 37.463976945245% of 34.7