What is 19.75 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 19.75% of the output value, so we can write it down as x=19.75%.
5. Now we have two simple equations:
1) 24.5=100%
2) x=19.75%
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%/19.75%
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 19.75% of 24.5

24.5/x=100/19.75
(24.5/x)*x=(100/19.75)*x       - we multiply both sides of the equation by x
24.5=5.0632911392405*x       - we divide both sides of the equation by (5.0632911392405) to get x
24.5/5.0632911392405=x
4.83875=x
x=4.83875

now we have:
19.75% of 24.5=4.83875