237.8 is what percent of 256.8 - 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 256.8 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 256.8, so we can write it down as 100%=256.8.
4. We know, that x% equals 237.8 of the output value, so we can write it down as x%=237.8.
5. Now we have two simple equations:
1) 100%=256.8
2) x%=237.8
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%=256.8/237.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 237.8 is what percent of 256.8

100%/x%=256.8/237.8
(100/x)*x=(256.8/237.8)*x       - we multiply both sides of the equation by x
100=1.0798990748528*x       - we divide both sides of the equation by (1.0798990748528) to get x
100/1.0798990748528=x
92.601246105919=x
x=92.601246105919

now we have:
237.8 is 92.601246105919% of 256.8