What is 12.25 percent of 288 - 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 288 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 288 is 100%, so we can write it down as 288=100%.
4. We know, that x is 12.25% of the output value, so we can write it down as x=12.25%.
5. Now we have two simple equations:
1) 288=100%
2) x=12.25%
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:
288/x=100%/12.25%
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 12.25% of 288

288/x=100/12.25
(288/x)*x=(100/12.25)*x       - we multiply both sides of the equation by x
288=8.1632653061224*x       - we divide both sides of the equation by (8.1632653061224) to get x
288/8.1632653061224=x
35.28=x
x=35.28

now we have:
12.25% of 288=35.28