7 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 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=81.5
2) x%=7
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%=81.5/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 81.5

100%/x%=81.5/7
(100/x)*x=(81.5/7)*x       - we multiply both sides of the equation by x
100=11.642857142857*x       - we divide both sides of the equation by (11.642857142857) to get x
100/11.642857142857=x
8.5889570552147=x
x=8.5889570552147

now we have:
7 is 8.5889570552147% of 81.5