27.25 is what percent of 988 - 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 988 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 988, so we can write it down as 100%=988.
4. We know, that x% equals 27.25 of the output value, so we can write it down as x%=27.25.
5. Now we have two simple equations:
1) 100%=988
2) x%=27.25
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%=988/27.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.25 is what percent of 988

100%/x%=988/27.25
(100/x)*x=(988/27.25)*x       - we multiply both sides of the equation by x
100=36.256880733945*x       - we divide both sides of the equation by (36.256880733945) to get x
100/36.256880733945=x
2.7580971659919=x
x=2.7580971659919

now we have:
27.25 is 2.7580971659919% of 988