What is 8.03 percent of 8.03 - 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 8.03 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 8.03 is 100%, so we can write it down as 8.03=100%.
4. We know, that x is 8.03% of the output value, so we can write it down as x=8.03%.
5. Now we have two simple equations:
1) 8.03=100%
2) x=8.03%
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:
8.03/x=100%/8.03%
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 8.03% of 8.03

8.03/x=100/8.03
(8.03/x)*x=(100/8.03)*x       - we multiply both sides of the equation by x
8.03=12.453300124533*x       - we divide both sides of the equation by (12.453300124533) to get x
8.03/12.453300124533=x
0.644809=x
x=0.644809

now we have:
8.03% of 8.03=0.644809