4.58 is what percent of 11.43 - 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 11.43 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 11.43, so we can write it down as 100%=11.43.
4. We know, that x% equals 4.58 of the output value, so we can write it down as x%=4.58.
5. Now we have two simple equations:
1) 100%=11.43
2) x%=4.58
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%=11.43/4.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.58 is what percent of 11.43

100%/x%=11.43/4.58
(100/x)*x=(11.43/4.58)*x       - we multiply both sides of the equation by x
100=2.4956331877729*x       - we divide both sides of the equation by (2.4956331877729) to get x
100/2.4956331877729=x
40.069991251094=x
x=40.069991251094

now we have:
4.58 is 40.069991251094% of 11.43