What is 7.95 percent of 1040.92 - 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 1040.92 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 1040.92 is 100%, so we can write it down as 1040.92=100%.
4. We know, that x is 7.95% of the output value, so we can write it down as x=7.95%.
5. Now we have two simple equations:
1) 1040.92=100%
2) x=7.95%
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:
1040.92/x=100%/7.95%
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 7.95% of 1040.92

1040.92/x=100/7.95
(1040.92/x)*x=(100/7.95)*x       - we multiply both sides of the equation by x
1040.92=12.578616352201*x       - we divide both sides of the equation by (12.578616352201) to get x
1040.92/12.578616352201=x
82.75314=x
x=82.75314

now we have:
7.95% of 1040.92=82.75314