What is 13.28 percent of 363.65 - 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 363.65 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 363.65 is 100%, so we can write it down as 363.65=100%.
4. We know, that x is 13.28% of the output value, so we can write it down as x=13.28%.
5. Now we have two simple equations:
1) 363.65=100%
2) x=13.28%
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:
363.65/x=100%/13.28%
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 13.28% of 363.65

363.65/x=100/13.28
(363.65/x)*x=(100/13.28)*x       - we multiply both sides of the equation by x
363.65=7.5301204819277*x       - we divide both sides of the equation by (7.5301204819277) to get x
363.65/7.5301204819277=x
48.29272=x
x=48.29272

now we have:
13.28% of 363.65=48.29272