8.09 is what percent of 10.31 - 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 10.31 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 10.31, so we can write it down as 100%=10.31.
4. We know, that x% equals 8.09 of the output value, so we can write it down as x%=8.09.
5. Now we have two simple equations:
1) 100%=10.31
2) x%=8.09
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%=10.31/8.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.09 is what percent of 10.31

100%/x%=10.31/8.09
(100/x)*x=(10.31/8.09)*x       - we multiply both sides of the equation by x
100=1.274412855377*x       - we divide both sides of the equation by (1.274412855377) to get x
100/1.274412855377=x
78.467507274491=x
x=78.467507274491

now we have:
8.09 is 78.467507274491% of 10.31