8.27 is what percent of 256 - 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 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, so we can write it down as 100%=256.
4. We know, that x% equals 8.27 of the output value, so we can write it down as x%=8.27.
5. Now we have two simple equations:
1) 100%=256
2) x%=8.27
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%=256/8.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.27 is what percent of 256

100%/x%=256/8.27
(100/x)*x=(256/8.27)*x       - we multiply both sides of the equation by x
100=30.955259975816*x       - we divide both sides of the equation by (30.955259975816) to get x
100/30.955259975816=x
3.23046875=x
x=3.23046875

now we have:
8.27 is 3.23046875% of 256