What is 22.6 percent of 26.6 - 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 26.6 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 26.6 is 100%, so we can write it down as 26.6=100%.
4. We know, that x is 22.6% of the output value, so we can write it down as x=22.6%.
5. Now we have two simple equations:
1) 26.6=100%
2) x=22.6%
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:
26.6/x=100%/22.6%
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 22.6% of 26.6

26.6/x=100/22.6
(26.6/x)*x=(100/22.6)*x       - we multiply both sides of the equation by x
26.6=4.4247787610619*x       - we divide both sides of the equation by (4.4247787610619) to get x
26.6/4.4247787610619=x
6.0116=x
x=6.0116

now we have:
22.6% of 26.6=6.0116