What is 72.25 percent of 24.5 - 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 24.5 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 24.5 is 100%, so we can write it down as 24.5=100%.
4. We know, that x is 72.25% of the output value, so we can write it down as x=72.25%.
5. Now we have two simple equations:
1) 24.5=100%
2) x=72.25%
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:
24.5/x=100%/72.25%
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 72.25% of 24.5

24.5/x=100/72.25
(24.5/x)*x=(100/72.25)*x       - we multiply both sides of the equation by x
24.5=1.3840830449827*x       - we divide both sides of the equation by (1.3840830449827) to get x
24.5/1.3840830449827=x
17.70125=x
x=17.70125

now we have:
72.25% of 24.5=17.70125