233.27 is what percent of 255.78 - 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 255.78 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 255.78, so we can write it down as 100%=255.78.
4. We know, that x% equals 233.27 of the output value, so we can write it down as x%=233.27.
5. Now we have two simple equations:
1) 100%=255.78
2) x%=233.27
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%=255.78/233.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.27 is what percent of 255.78

100%/x%=255.78/233.27
(100/x)*x=(255.78/233.27)*x       - we multiply both sides of the equation by x
100=1.0964976207828*x       - we divide both sides of the equation by (1.0964976207828) to get x
100/1.0964976207828=x
91.199468293064=x
x=91.199468293064

now we have:
233.27 is 91.199468293064% of 255.78