3.2 is what percent of 8.35 - 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 8.35 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 8.35, so we can write it down as 100%=8.35.
4. We know, that x% equals 3.2 of the output value, so we can write it down as x%=3.2.
5. Now we have two simple equations:
1) 100%=8.35
2) x%=3.2
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%=8.35/3.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.2 is what percent of 8.35

100%/x%=8.35/3.2
(100/x)*x=(8.35/3.2)*x       - we multiply both sides of the equation by x
100=2.609375*x       - we divide both sides of the equation by (2.609375) to get x
100/2.609375=x
38.323353293413=x
x=38.323353293413

now we have:
3.2 is 38.323353293413% of 8.35