What is 8.51 percent of 85.1 - 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 85.1 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 85.1 is 100%, so we can write it down as 85.1=100%.
4. We know, that x is 8.51% of the output value, so we can write it down as x=8.51%.
5. Now we have two simple equations:
1) 85.1=100%
2) x=8.51%
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:
85.1/x=100%/8.51%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.51% of 85.1

85.1/x=100/8.51
(85.1/x)*x=(100/8.51)*x       - we multiply both sides of the equation by x
85.1=11.750881316099*x       - we divide both sides of the equation by (11.750881316099) to get x
85.1/11.750881316099=x
7.24201=x
x=7.24201

now we have:
8.51% of 85.1=7.24201