258.7 is what percent of 2248.7 - 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 2248.7 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 2248.7, so we can write it down as 100%=2248.7.
4. We know, that x% equals 258.7 of the output value, so we can write it down as x%=258.7.
5. Now we have two simple equations:
1) 100%=2248.7
2) x%=258.7
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%=2248.7/258.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.7 is what percent of 2248.7

100%/x%=2248.7/258.7
(100/x)*x=(2248.7/258.7)*x       - we multiply both sides of the equation by x
100=8.6923076923077*x       - we divide both sides of the equation by (8.6923076923077) to get x
100/8.6923076923077=x
11.504424778761=x
x=11.504424778761

now we have:
258.7 is 11.504424778761% of 2248.7