What is 26.5 percent of 26.5 - 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 26.5 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 26.5 is 100%, so we can write it down as 26.5=100%.
4. We know, that x is 26.5% of the output value, so we can write it down as x=26.5%.
5. Now we have two simple equations:
1) 26.5=100%
2) x=26.5%
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:
26.5/x=100%/26.5%
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 26.5% of 26.5

26.5/x=100/26.5
(26.5/x)*x=(100/26.5)*x       - we multiply both sides of the equation by x
26.5=3.7735849056604*x       - we divide both sides of the equation by (3.7735849056604) to get x
26.5/3.7735849056604=x
7.0225=x
x=7.0225

now we have:
26.5% of 26.5=7.0225