80.71 is what percent of 84.96 - 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 84.96 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 84.96, so we can write it down as 100%=84.96.
4. We know, that x% equals 80.71 of the output value, so we can write it down as x%=80.71.
5. Now we have two simple equations:
1) 100%=84.96
2) x%=80.71
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%=84.96/80.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.71 is what percent of 84.96

100%/x%=84.96/80.71
(100/x)*x=(84.96/80.71)*x       - we multiply both sides of the equation by x
100=1.0526576632388*x       - we divide both sides of the equation by (1.0526576632388) to get x
100/1.0526576632388=x
94.997645951036=x
x=94.997645951036

now we have:
80.71 is 94.997645951036% of 84.96