7.81 is what percent of 8.11 - 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 8.11 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 8.11, so we can write it down as 100%=8.11.
4. We know, that x% equals 7.81 of the output value, so we can write it down as x%=7.81.
5. Now we have two simple equations:
1) 100%=8.11
2) x%=7.81
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%=8.11/7.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.81 is what percent of 8.11

100%/x%=8.11/7.81
(100/x)*x=(8.11/7.81)*x       - we multiply both sides of the equation by x
100=1.0384122919334*x       - we divide both sides of the equation by (1.0384122919334) to get x
100/1.0384122919334=x
96.300863131936=x
x=96.300863131936

now we have:
7.81 is 96.300863131936% of 8.11