What is 23.759 percent of 38.445 - 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 38.445 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 38.445 is 100%, so we can write it down as 38.445=100%.
4. We know, that x is 23.759% of the output value, so we can write it down as x=23.759%.
5. Now we have two simple equations:
1) 38.445=100%
2) x=23.759%
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:
38.445/x=100%/23.759%
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 23.759% of 38.445

38.445/x=100/23.759
(38.445/x)*x=(100/23.759)*x       - we multiply both sides of the equation by x
38.445=4.2089313523296*x       - we divide both sides of the equation by (4.2089313523296) to get x
38.445/4.2089313523296=x
9.13414755=x
x=9.13414755

now we have:
23.759% of 38.445=9.13414755