What is 86.82 percent of 10.3 - 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 10.3 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 10.3 is 100%, so we can write it down as 10.3=100%.
4. We know, that x is 86.82% of the output value, so we can write it down as x=86.82%.
5. Now we have two simple equations:
1) 10.3=100%
2) x=86.82%
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:
10.3/x=100%/86.82%
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 86.82% of 10.3

10.3/x=100/86.82
(10.3/x)*x=(100/86.82)*x       - we multiply both sides of the equation by x
10.3=1.1518083390924*x       - we divide both sides of the equation by (1.1518083390924) to get x
10.3/1.1518083390924=x
8.94246=x
x=8.94246

now we have:
86.82% of 10.3=8.94246