58.89 is what percent of 314.92 - 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 314.92 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 314.92, so we can write it down as 100%=314.92.
4. We know, that x% equals 58.89 of the output value, so we can write it down as x%=58.89.
5. Now we have two simple equations:
1) 100%=314.92
2) x%=58.89
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%=314.92/58.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.89 is what percent of 314.92

100%/x%=314.92/58.89
(100/x)*x=(314.92/58.89)*x       - we multiply both sides of the equation by x
100=5.3475972151469*x       - we divide both sides of the equation by (5.3475972151469) to get x
100/5.3475972151469=x
18.699987298361=x
x=18.699987298361

now we have:
58.89 is 18.699987298361% of 314.92