What is 34.92 percent of 24.25 - 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 24.25 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 24.25 is 100%, so we can write it down as 24.25=100%.
4. We know, that x is 34.92% of the output value, so we can write it down as x=34.92%.
5. Now we have two simple equations:
1) 24.25=100%
2) x=34.92%
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:
24.25/x=100%/34.92%
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 34.92% of 24.25

24.25/x=100/34.92
(24.25/x)*x=(100/34.92)*x       - we multiply both sides of the equation by x
24.25=2.8636884306987*x       - we divide both sides of the equation by (2.8636884306987) to get x
24.25/2.8636884306987=x
8.4681=x
x=8.4681

now we have:
34.92% of 24.25=8.4681