2.88 is what percent of 81.5 - 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 81.5 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 81.5, so we can write it down as 100%=81.5.
4. We know, that x% equals 2.88 of the output value, so we can write it down as x%=2.88.
5. Now we have two simple equations:
1) 100%=81.5
2) x%=2.88
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%=81.5/2.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.88 is what percent of 81.5

100%/x%=81.5/2.88
(100/x)*x=(81.5/2.88)*x       - we multiply both sides of the equation by x
100=28.298611111111*x       - we divide both sides of the equation by (28.298611111111) to get x
100/28.298611111111=x
3.5337423312883=x
x=3.5337423312883

now we have:
2.88 is 3.5337423312883% of 81.5