258.25 is what percent of 518.6 - 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 518.6 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 518.6, so we can write it down as 100%=518.6.
4. We know, that x% equals 258.25 of the output value, so we can write it down as x%=258.25.
5. Now we have two simple equations:
1) 100%=518.6
2) x%=258.25
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%=518.6/258.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.25 is what percent of 518.6

100%/x%=518.6/258.25
(100/x)*x=(518.6/258.25)*x       - we multiply both sides of the equation by x
100=2.00813165537*x       - we divide both sides of the equation by (2.00813165537) to get x
100/2.00813165537=x
49.7975318164=x
x=49.7975318164

now we have:
258.25 is 49.7975318164% of 518.6