58.23 is what percent of 388.86 - 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 388.86 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 388.86, so we can write it down as 100%=388.86.
4. We know, that x% equals 58.23 of the output value, so we can write it down as x%=58.23.
5. Now we have two simple equations:
1) 100%=388.86
2) x%=58.23
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%=388.86/58.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.23 is what percent of 388.86

100%/x%=388.86/58.23
(100/x)*x=(388.86/58.23)*x       - we multiply both sides of the equation by x
100=6.6780010303967*x       - we divide both sides of the equation by (6.6780010303967) to get x
100/6.6780010303967=x
14.9745409659=x
x=14.9745409659

now we have:
58.23 is 14.9745409659% of 388.86