48.56 is what percent of 809.31 - 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 809.31 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 809.31, so we can write it down as 100%=809.31.
4. We know, that x% equals 48.56 of the output value, so we can write it down as x%=48.56.
5. Now we have two simple equations:
1) 100%=809.31
2) x%=48.56
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%=809.31/48.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.56 is what percent of 809.31

100%/x%=809.31/48.56
(100/x)*x=(809.31/48.56)*x       - we multiply both sides of the equation by x
100=16.66618616145*x       - we divide both sides of the equation by (16.66618616145) to get x
100/16.66618616145=x
6.0001729868654=x
x=6.0001729868654

now we have:
48.56 is 6.0001729868654% of 809.31