24.25 is what percent of 37.83 - 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 37.83 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 100% equals 37.83, so we can write it down as 100%=37.83.
4. We know, that x% equals 24.25 of the output value, so we can write it down as x%=24.25.
5. Now we have two simple equations:
1) 100%=37.83
2) x%=24.25
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:
100%/x%=37.83/24.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.25 is what percent of 37.83

100%/x%=37.83/24.25
(100/x)*x=(37.83/24.25)*x       - we multiply both sides of the equation by x
100=1.56*x       - we divide both sides of the equation by (1.56) to get x
100/1.56=x
64.102564102564=x
x=64.102564102564

now we have:
24.25 is 64.102564102564% of 37.83