3.2 is what percent of 85.3 - 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 85.3 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 85.3, so we can write it down as 100%=85.3.
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%=85.3
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%=85.3/3.2
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 85.3

100%/x%=85.3/3.2
(100/x)*x=(85.3/3.2)*x       - we multiply both sides of the equation by x
100=26.65625*x       - we divide both sides of the equation by (26.65625) to get x
100/26.65625=x
3.7514654161782=x
x=3.7514654161782

now we have:
3.2 is 3.7514654161782% of 85.3