5.35 is what percent of 13.58 - 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 13.58 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 13.58, so we can write it down as 100%=13.58.
4. We know, that x% equals 5.35 of the output value, so we can write it down as x%=5.35.
5. Now we have two simple equations:
1) 100%=13.58
2) x%=5.35
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%=13.58/5.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.35 is what percent of 13.58

100%/x%=13.58/5.35
(100/x)*x=(13.58/5.35)*x       - we multiply both sides of the equation by x
100=2.5383177570093*x       - we divide both sides of the equation by (2.5383177570093) to get x
100/2.5383177570093=x
39.39617083947=x
x=39.39617083947

now we have:
5.35 is 39.39617083947% of 13.58