258.46 is what percent of 58785.93 - 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 58785.93 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 58785.93, so we can write it down as 100%=58785.93.
4. We know, that x% equals 258.46 of the output value, so we can write it down as x%=258.46.
5. Now we have two simple equations:
1) 100%=58785.93
2) x%=258.46
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%=58785.93/258.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.46 is what percent of 58785.93

100%/x%=58785.93/258.46
(100/x)*x=(58785.93/258.46)*x       - we multiply both sides of the equation by x
100=227.44691635069*x       - we divide both sides of the equation by (227.44691635069) to get x
100/227.44691635069=x
0.439663028211=x
x=0.439663028211

now we have:
258.46 is 0.439663028211% of 58785.93