What is 26.315789473684 percent of 27.5 - 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 27.5 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 27.5 is 100%, so we can write it down as 27.5=100%.
4. We know, that x is 26.315789473684% of the output value, so we can write it down as x=26.315789473684%.
5. Now we have two simple equations:
1) 27.5=100%
2) x=26.315789473684%
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:
27.5/x=100%/26.315789473684%
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 26.315789473684% of 27.5

27.5/x=100/26.315789473684
(27.5/x)*x=(100/26.315789473684)*x       - we multiply both sides of the equation by x
27.5=3.8*x       - we divide both sides of the equation by (3.8) to get x
27.5/3.8=x
7.2368421052631=x
x=7.2368421052631

now we have:
26.315789473684% of 27.5=7.2368421052631