What is 12.07 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 255 is 100%, so we can write it down as 255=100%.
4. We know, that x is 12.07% of the output value, so we can write it down as x=12.07%.
5. Now we have two simple equations:
1) 255=100%
2) x=12.07%
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:
255/x=100%/12.07%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 12.07% of 255

255/x=100/12.07
(255/x)*x=(100/12.07)*x       - we multiply both sides of the equation by x
255=8.2850041425021*x       - we divide both sides of the equation by (8.2850041425021) to get x
255/8.2850041425021=x
30.7785=x
x=30.7785

now we have:
12.07% of 255=30.7785