What is 83.66 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 83.66% of the output value, so we can write it down as x=83.66%.
5. Now we have two simple equations:
1) 10.2=100%
2) x=83.66%
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%/83.66%
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 83.66% of 10.2

10.2/x=100/83.66
(10.2/x)*x=(100/83.66)*x       - we multiply both sides of the equation by x
10.2=1.1953143676787*x       - we divide both sides of the equation by (1.1953143676787) to get x
10.2/1.1953143676787=x
8.53332=x
x=8.53332

now we have:
83.66% of 10.2=8.53332