248.37 is what percent of 512.2 - 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 512.2 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 512.2, so we can write it down as 100%=512.2.
4. We know, that x% equals 248.37 of the output value, so we can write it down as x%=248.37.
5. Now we have two simple equations:
1) 100%=512.2
2) x%=248.37
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%=512.2/248.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.37 is what percent of 512.2

100%/x%=512.2/248.37
(100/x)*x=(512.2/248.37)*x       - we multiply both sides of the equation by x
100=2.0622458428957*x       - we divide both sides of the equation by (2.0622458428957) to get x
100/2.0622458428957=x
48.490823896915=x
x=48.490823896915

now we have:
248.37 is 48.490823896915% of 512.2