221.18 is what percent of 255 - 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 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, so we can write it down as 100%=255.
4. We know, that x% equals 221.18 of the output value, so we can write it down as x%=221.18.
5. Now we have two simple equations:
1) 100%=255
2) x%=221.18
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%=255/221.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 221.18 is what percent of 255

100%/x%=255/221.18
(100/x)*x=(255/221.18)*x       - we multiply both sides of the equation by x
100=1.1529071344606*x       - we divide both sides of the equation by (1.1529071344606) to get x
100/1.1529071344606=x
86.737254901961=x
x=86.737254901961

now we have:
221.18 is 86.737254901961% of 255