58.1 is what percent of 224 - 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 224 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 224, so we can write it down as 100%=224.
4. We know, that x% equals 58.1 of the output value, so we can write it down as x%=58.1.
5. Now we have two simple equations:
1) 100%=224
2) x%=58.1
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%=224/58.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.1 is what percent of 224

100%/x%=224/58.1
(100/x)*x=(224/58.1)*x       - we multiply both sides of the equation by x
100=3.855421686747*x       - we divide both sides of the equation by (3.855421686747) to get x
100/3.855421686747=x
25.9375=x
x=25.9375

now we have:
58.1 is 25.9375% of 224