8.56 is what percent of 122.31 - 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 122.31 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 122.31, so we can write it down as 100%=122.31.
4. We know, that x% equals 8.56 of the output value, so we can write it down as x%=8.56.
5. Now we have two simple equations:
1) 100%=122.31
2) x%=8.56
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%=122.31/8.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.56 is what percent of 122.31

100%/x%=122.31/8.56
(100/x)*x=(122.31/8.56)*x       - we multiply both sides of the equation by x
100=14.288551401869*x       - we divide both sides of the equation by (14.288551401869) to get x
100/14.288551401869=x
6.9986100891178=x
x=6.9986100891178

now we have:
8.56 is 6.9986100891178% of 122.31