What is 22.4 percent of 52.8 - 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 52.8 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 52.8 is 100%, so we can write it down as 52.8=100%.
4. We know, that x is 22.4% of the output value, so we can write it down as x=22.4%.
5. Now we have two simple equations:
1) 52.8=100%
2) x=22.4%
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:
52.8/x=100%/22.4%
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 22.4% of 52.8

52.8/x=100/22.4
(52.8/x)*x=(100/22.4)*x       - we multiply both sides of the equation by x
52.8=4.4642857142857*x       - we divide both sides of the equation by (4.4642857142857) to get x
52.8/4.4642857142857=x
11.8272=x
x=11.8272

now we have:
22.4% of 52.8=11.8272