24.66 is what percent of 37.95 - 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 37.95 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 37.95, so we can write it down as 100%=37.95.
4. We know, that x% equals 24.66 of the output value, so we can write it down as x%=24.66.
5. Now we have two simple equations:
1) 100%=37.95
2) x%=24.66
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%=37.95/24.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.66 is what percent of 37.95

100%/x%=37.95/24.66
(100/x)*x=(37.95/24.66)*x       - we multiply both sides of the equation by x
100=1.5389294403893*x       - we divide both sides of the equation by (1.5389294403893) to get x
100/1.5389294403893=x
64.98023715415=x
x=64.98023715415

now we have:
24.66 is 64.98023715415% of 37.95