27.8 is what percent of 36.8 - 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 36.8 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 36.8, so we can write it down as 100%=36.8.
4. We know, that x% equals 27.8 of the output value, so we can write it down as x%=27.8.
5. Now we have two simple equations:
1) 100%=36.8
2) x%=27.8
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%=36.8/27.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.8 is what percent of 36.8

100%/x%=36.8/27.8
(100/x)*x=(36.8/27.8)*x       - we multiply both sides of the equation by x
100=1.3237410071942*x       - we divide both sides of the equation by (1.3237410071942) to get x
100/1.3237410071942=x
75.54347826087=x
x=75.54347826087

now we have:
27.8 is 75.54347826087% of 36.8