4.56 is what percent of 31.43 - 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 31.43 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 31.43, so we can write it down as 100%=31.43.
4. We know, that x% equals 4.56 of the output value, so we can write it down as x%=4.56.
5. Now we have two simple equations:
1) 100%=31.43
2) x%=4.56
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%=31.43/4.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.56 is what percent of 31.43

100%/x%=31.43/4.56
(100/x)*x=(31.43/4.56)*x       - we multiply both sides of the equation by x
100=6.8925438596491*x       - we divide both sides of the equation by (6.8925438596491) to get x
100/6.8925438596491=x
14.508431434935=x
x=14.508431434935

now we have:
4.56 is 14.508431434935% of 31.43