What is 26.58 percent of 26.58 - 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 26.58 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 26.58 is 100%, so we can write it down as 26.58=100%.
4. We know, that x is 26.58% of the output value, so we can write it down as x=26.58%.
5. Now we have two simple equations:
1) 26.58=100%
2) x=26.58%
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:
26.58/x=100%/26.58%
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 26.58% of 26.58

26.58/x=100/26.58
(26.58/x)*x=(100/26.58)*x       - we multiply both sides of the equation by x
26.58=3.7622272385252*x       - we divide both sides of the equation by (3.7622272385252) to get x
26.58/3.7622272385252=x
7.064964=x
x=7.064964

now we have:
26.58% of 26.58=7.064964