258.37 is what percent of 3829.48 - 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 3829.48 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 3829.48, so we can write it down as 100%=3829.48.
4. We know, that x% equals 258.37 of the output value, so we can write it down as x%=258.37.
5. Now we have two simple equations:
1) 100%=3829.48
2) x%=258.37
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%=3829.48/258.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.37 is what percent of 3829.48

100%/x%=3829.48/258.37
(100/x)*x=(3829.48/258.37)*x       - we multiply both sides of the equation by x
100=14.82168982467*x       - we divide both sides of the equation by (14.82168982467) to get x
100/14.82168982467=x
6.7468690266041=x
x=6.7468690266041

now we have:
258.37 is 6.7468690266041% of 3829.48