238.6 is what percent of 248.8 - 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 248.8 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 248.8, so we can write it down as 100%=248.8.
4. We know, that x% equals 238.6 of the output value, so we can write it down as x%=238.6.
5. Now we have two simple equations:
1) 100%=248.8
2) x%=238.6
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%=248.8/238.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.6 is what percent of 248.8

100%/x%=248.8/238.6
(100/x)*x=(248.8/238.6)*x       - we multiply both sides of the equation by x
100=1.0427493713328*x       - we divide both sides of the equation by (1.0427493713328) to get x
100/1.0427493713328=x
95.900321543408=x
x=95.900321543408

now we have:
238.6 is 95.900321543408% of 248.8