3.2 is what percent of 57.5 - 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 57.5 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 57.5, so we can write it down as 100%=57.5.
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%=57.5
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%=57.5/3.2
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 57.5

100%/x%=57.5/3.2
(100/x)*x=(57.5/3.2)*x       - we multiply both sides of the equation by x
100=17.96875*x       - we divide both sides of the equation by (17.96875) to get x
100/17.96875=x
5.5652173913043=x
x=5.5652173913043

now we have:
3.2 is 5.5652173913043% of 57.5