What is 7.82 percent of 1.07 - 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 1.07 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 1.07 is 100%, so we can write it down as 1.07=100%.
4. We know, that x is 7.82% of the output value, so we can write it down as x=7.82%.
5. Now we have two simple equations:
1) 1.07=100%
2) x=7.82%
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:
1.07/x=100%/7.82%
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 7.82% of 1.07

1.07/x=100/7.82
(1.07/x)*x=(100/7.82)*x       - we multiply both sides of the equation by x
1.07=12.787723785166*x       - we divide both sides of the equation by (12.787723785166) to get x
1.07/12.787723785166=x
0.083674=x
x=0.083674

now we have:
7.82% of 1.07=0.083674