3.2 is what percent of 286.2 - 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 286.2 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 286.2, so we can write it down as 100%=286.2.
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%=286.2
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%=286.2/3.2
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 286.2

100%/x%=286.2/3.2
(100/x)*x=(286.2/3.2)*x       - we multiply both sides of the equation by x
100=89.4375*x       - we divide both sides of the equation by (89.4375) to get x
100/89.4375=x
1.1180992313068=x
x=1.1180992313068

now we have:
3.2 is 1.1180992313068% of 286.2