What is 52.4 percent of 14.85 - 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 14.85 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 14.85 is 100%, so we can write it down as 14.85=100%.
4. We know, that x is 52.4% of the output value, so we can write it down as x=52.4%.
5. Now we have two simple equations:
1) 14.85=100%
2) x=52.4%
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:
14.85/x=100%/52.4%
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 52.4% of 14.85

14.85/x=100/52.4
(14.85/x)*x=(100/52.4)*x       - we multiply both sides of the equation by x
14.85=1.9083969465649*x       - we divide both sides of the equation by (1.9083969465649) to get x
14.85/1.9083969465649=x
7.7814=x
x=7.7814

now we have:
52.4% of 14.85=7.7814