12.35 is what percent of 37.65 - 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 37.65 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 37.65, so we can write it down as 100%=37.65.
4. We know, that x% equals 12.35 of the output value, so we can write it down as x%=12.35.
5. Now we have two simple equations:
1) 100%=37.65
2) x%=12.35
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%=37.65/12.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.35 is what percent of 37.65

100%/x%=37.65/12.35
(100/x)*x=(37.65/12.35)*x       - we multiply both sides of the equation by x
100=3.0485829959514*x       - we divide both sides of the equation by (3.0485829959514) to get x
100/3.0485829959514=x
32.802124833997=x
x=32.802124833997

now we have:
12.35 is 32.802124833997% of 37.65