2.37 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 2.37 of the output value, so we can write it down as x%=2.37.
5. Now we have two simple equations:
1) 100%=27.5
2) x%=2.37
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%=27.5/2.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.37 is what percent of 27.5

100%/x%=27.5/2.37
(100/x)*x=(27.5/2.37)*x       - we multiply both sides of the equation by x
100=11.603375527426*x       - we divide both sides of the equation by (11.603375527426) to get x
100/11.603375527426=x
8.6181818181818=x
x=8.6181818181818

now we have:
2.37 is 8.6181818181818% of 27.5