What is 83.152173913043 percent of 24 - 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 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 is 100%, so we can write it down as 24=100%.
4. We know, that x is 83.152173913043% of the output value, so we can write it down as x=83.152173913043%.
5. Now we have two simple equations:
1) 24=100%
2) x=83.152173913043%
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/x=100%/83.152173913043%
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 83.152173913043% of 24

24/x=100/83.152173913043
(24/x)*x=(100/83.152173913043)*x       - we multiply both sides of the equation by x
24=1.202614379085*x       - we divide both sides of the equation by (1.202614379085) to get x
24/1.202614379085=x
19.95652173913=x
x=19.95652173913

now we have:
83.152173913043% of 24=19.95652173913