What is 32.2 percent of 24.15 - 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 24.15 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 24.15 is 100%, so we can write it down as 24.15=100%.
4. We know, that x is 32.2% of the output value, so we can write it down as x=32.2%.
5. Now we have two simple equations:
1) 24.15=100%
2) x=32.2%
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:
24.15/x=100%/32.2%
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 32.2% of 24.15

24.15/x=100/32.2
(24.15/x)*x=(100/32.2)*x       - we multiply both sides of the equation by x
24.15=3.10559006211*x       - we divide both sides of the equation by (3.10559006211) to get x
24.15/3.10559006211=x
7.7763=x
x=7.7763

now we have:
32.2% of 24.15=7.7763