23 is what percent of 58.105 - 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 58.105 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 58.105, so we can write it down as 100%=58.105.
4. We know, that x% equals 23 of the output value, so we can write it down as x%=23.
5. Now we have two simple equations:
1) 100%=58.105
2) x%=23
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%=58.105/23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23 is what percent of 58.105

100%/x%=58.105/23
(100/x)*x=(58.105/23)*x       - we multiply both sides of the equation by x
100=2.5263043478261*x       - we divide both sides of the equation by (2.5263043478261) to get x
100/2.5263043478261=x
39.583512606488=x
x=39.583512606488

now we have:
23 is 39.583512606488% of 58.105