What is 24.09 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 24.09% of the output value, so we can write it down as x=24.09%.
5. Now we have two simple equations:
1) 52.5=100%
2) x=24.09%
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%/24.09%
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 24.09% of 52.5

52.5/x=100/24.09
(52.5/x)*x=(100/24.09)*x       - we multiply both sides of the equation by x
52.5=4.151100041511*x       - we divide both sides of the equation by (4.151100041511) to get x
52.5/4.151100041511=x
12.64725=x
x=12.64725

now we have:
24.09% of 52.5=12.64725