8.09 is what percent of 1022.37 - 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 1022.37 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 1022.37, so we can write it down as 100%=1022.37.
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%=1022.37
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%=1022.37/8.09
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 1022.37

100%/x%=1022.37/8.09
(100/x)*x=(1022.37/8.09)*x       - we multiply both sides of the equation by x
100=126.37453646477*x       - we divide both sides of the equation by (126.37453646477) to get x
100/126.37453646477=x
0.79129864921702=x
x=0.79129864921702

now we have:
8.09 is 0.79129864921702% of 1022.37