248.45 is what percent of 263.36 - 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 263.36 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 263.36, so we can write it down as 100%=263.36.
4. We know, that x% equals 248.45 of the output value, so we can write it down as x%=248.45.
5. Now we have two simple equations:
1) 100%=263.36
2) x%=248.45
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%=263.36/248.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.45 is what percent of 263.36

100%/x%=263.36/248.45
(100/x)*x=(263.36/248.45)*x       - we multiply both sides of the equation by x
100=1.0600120748642*x       - we divide both sides of the equation by (1.0600120748642) to get x
100/1.0600120748642=x
94.33854799514=x
x=94.33854799514

now we have:
248.45 is 94.33854799514% of 263.36