What is 0.564 percent of 26.2 - 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 26.2 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 26.2 is 100%, so we can write it down as 26.2=100%.
4. We know, that x is 0.564% of the output value, so we can write it down as x=0.564%.
5. Now we have two simple equations:
1) 26.2=100%
2) x=0.564%
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:
26.2/x=100%/0.564%
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 0.564% of 26.2

26.2/x=100/0.564
(26.2/x)*x=(100/0.564)*x       - we multiply both sides of the equation by x
26.2=177.30496453901*x       - we divide both sides of the equation by (177.30496453901) to get x
26.2/177.30496453901=x
0.147768=x
x=0.147768

now we have:
0.564% of 26.2=0.147768