What is 8.61 percent of 10.2 - 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 10.2 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 10.2 is 100%, so we can write it down as 10.2=100%.
4. We know, that x is 8.61% of the output value, so we can write it down as x=8.61%.
5. Now we have two simple equations:
1) 10.2=100%
2) x=8.61%
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:
10.2/x=100%/8.61%
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 8.61% of 10.2

10.2/x=100/8.61
(10.2/x)*x=(100/8.61)*x       - we multiply both sides of the equation by x
10.2=11.614401858304*x       - we divide both sides of the equation by (11.614401858304) to get x
10.2/11.614401858304=x
0.87822=x
x=0.87822

now we have:
8.61% of 10.2=0.87822