13.28 is what 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 100% equals 27.5, so we can write it down as 100%=27.5.
4. We know, that x% equals 13.28 of the output value, so we can write it down as x%=13.28.
5. Now we have two simple equations:
1) 100%=27.5
2) x%=13.28
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:
100%/x%=27.5/13.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.28 is what percent of 27.5

100%/x%=27.5/13.28
(100/x)*x=(27.5/13.28)*x       - we multiply both sides of the equation by x
100=2.0707831325301*x       - we divide both sides of the equation by (2.0707831325301) to get x
100/2.0707831325301=x
48.290909090909=x
x=48.290909090909

now we have:
13.28 is 48.290909090909% of 27.5