What is 8.3 percent of 96.42 - 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 96.42 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 96.42 is 100%, so we can write it down as 96.42=100%.
4. We know, that x is 8.3% of the output value, so we can write it down as x=8.3%.
5. Now we have two simple equations:
1) 96.42=100%
2) x=8.3%
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:
96.42/x=100%/8.3%
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 8.3% of 96.42

96.42/x=100/8.3
(96.42/x)*x=(100/8.3)*x       - we multiply both sides of the equation by x
96.42=12.048192771084*x       - we divide both sides of the equation by (12.048192771084) to get x
96.42/12.048192771084=x
8.00286=x
x=8.00286

now we have:
8.3% of 96.42=8.00286