215.8 is what percent of 238.8 - 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 238.8 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 238.8, so we can write it down as 100%=238.8.
4. We know, that x% equals 215.8 of the output value, so we can write it down as x%=215.8.
5. Now we have two simple equations:
1) 100%=238.8
2) x%=215.8
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%=238.8/215.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 215.8 is what percent of 238.8

100%/x%=238.8/215.8
(100/x)*x=(238.8/215.8)*x       - we multiply both sides of the equation by x
100=1.1065801668211*x       - we divide both sides of the equation by (1.1065801668211) to get x
100/1.1065801668211=x
90.36850921273=x
x=90.36850921273

now we have:
215.8 is 90.36850921273% of 238.8