What is 14.36 percent of 53.35 - 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 53.35 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 53.35 is 100%, so we can write it down as 53.35=100%.
4. We know, that x is 14.36% of the output value, so we can write it down as x=14.36%.
5. Now we have two simple equations:
1) 53.35=100%
2) x=14.36%
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:
53.35/x=100%/14.36%
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 14.36% of 53.35

53.35/x=100/14.36
(53.35/x)*x=(100/14.36)*x       - we multiply both sides of the equation by x
53.35=6.96378830084*x       - we divide both sides of the equation by (6.96378830084) to get x
53.35/6.96378830084=x
7.66106=x
x=7.66106

now we have:
14.36% of 53.35=7.66106