238.27 is what percent of 284.01 - 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 284.01 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 284.01, so we can write it down as 100%=284.01.
4. We know, that x% equals 238.27 of the output value, so we can write it down as x%=238.27.
5. Now we have two simple equations:
1) 100%=284.01
2) x%=238.27
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%=284.01/238.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 238.27 is what percent of 284.01

100%/x%=284.01/238.27
(100/x)*x=(284.01/238.27)*x       - we multiply both sides of the equation by x
100=1.1919670961514*x       - we divide both sides of the equation by (1.1919670961514) to get x
100/1.1919670961514=x
83.894933276997=x
x=83.894933276997

now we have:
238.27 is 83.894933276997% of 284.01