What is 8.375 percent of 783.95 - 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 783.95 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 783.95 is 100%, so we can write it down as 783.95=100%.
4. We know, that x is 8.375% of the output value, so we can write it down as x=8.375%.
5. Now we have two simple equations:
1) 783.95=100%
2) x=8.375%
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:
783.95/x=100%/8.375%
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 8.375% of 783.95

783.95/x=100/8.375
(783.95/x)*x=(100/8.375)*x       - we multiply both sides of the equation by x
783.95=11.940298507463*x       - we divide both sides of the equation by (11.940298507463) to get x
783.95/11.940298507463=x
65.6558125=x
x=65.6558125

now we have:
8.375% of 783.95=65.6558125