What is 7.84 percent of 7.84 - 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 7.84 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 7.84 is 100%, so we can write it down as 7.84=100%.
4. We know, that x is 7.84% of the output value, so we can write it down as x=7.84%.
5. Now we have two simple equations:
1) 7.84=100%
2) x=7.84%
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:
7.84/x=100%/7.84%
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 7.84% of 7.84

7.84/x=100/7.84
(7.84/x)*x=(100/7.84)*x       - we multiply both sides of the equation by x
7.84=12.755102040816*x       - we divide both sides of the equation by (12.755102040816) to get x
7.84/12.755102040816=x
0.614656=x
x=0.614656

now we have:
7.84% of 7.84=0.614656