5.64 is what percent of 14.58 - 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 14.58 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 14.58, so we can write it down as 100%=14.58.
4. We know, that x% equals 5.64 of the output value, so we can write it down as x%=5.64.
5. Now we have two simple equations:
1) 100%=14.58
2) x%=5.64
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%=14.58/5.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.64 is what percent of 14.58

100%/x%=14.58/5.64
(100/x)*x=(14.58/5.64)*x       - we multiply both sides of the equation by x
100=2.5851063829787*x       - we divide both sides of the equation by (2.5851063829787) to get x
100/2.5851063829787=x
38.683127572016=x
x=38.683127572016

now we have:
5.64 is 38.683127572016% of 14.58