13.64 is what percent of 34.45 - 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 34.45 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 34.45, so we can write it down as 100%=34.45.
4. We know, that x% equals 13.64 of the output value, so we can write it down as x%=13.64.
5. Now we have two simple equations:
1) 100%=34.45
2) x%=13.64
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%=34.45/13.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.64 is what percent of 34.45

100%/x%=34.45/13.64
(100/x)*x=(34.45/13.64)*x       - we multiply both sides of the equation by x
100=2.5256598240469*x       - we divide both sides of the equation by (2.5256598240469) to get x
100/2.5256598240469=x
39.593613933237=x
x=39.593613933237

now we have:
13.64 is 39.593613933237% of 34.45