What is 79.2 percent of 79.2 - 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 79.2 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 79.2 is 100%, so we can write it down as 79.2=100%.
4. We know, that x is 79.2% of the output value, so we can write it down as x=79.2%.
5. Now we have two simple equations:
1) 79.2=100%
2) x=79.2%
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:
79.2/x=100%/79.2%
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 79.2% of 79.2

79.2/x=100/79.2
(79.2/x)*x=(100/79.2)*x       - we multiply both sides of the equation by x
79.2=1.2626262626263*x       - we divide both sides of the equation by (1.2626262626263) to get x
79.2/1.2626262626263=x
62.7264=x
x=62.7264

now we have:
79.2% of 79.2=62.7264