What is 13.56 percent of 52.5 - 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 52.5 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 52.5 is 100%, so we can write it down as 52.5=100%.
4. We know, that x is 13.56% of the output value, so we can write it down as x=13.56%.
5. Now we have two simple equations:
1) 52.5=100%
2) x=13.56%
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:
52.5/x=100%/13.56%
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 13.56% of 52.5

52.5/x=100/13.56
(52.5/x)*x=(100/13.56)*x       - we multiply both sides of the equation by x
52.5=7.3746312684366*x       - we divide both sides of the equation by (7.3746312684366) to get x
52.5/7.3746312684366=x
7.119=x
x=7.119

now we have:
13.56% of 52.5=7.119