27.5 is what percent of 102 - 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 102 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 102, so we can write it down as 100%=102.
4. We know, that x% equals 27.5 of the output value, so we can write it down as x%=27.5.
5. Now we have two simple equations:
1) 100%=102
2) x%=27.5
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%=102/27.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.5 is what percent of 102

100%/x%=102/27.5
(100/x)*x=(102/27.5)*x       - we multiply both sides of the equation by x
100=3.7090909090909*x       - we divide both sides of the equation by (3.7090909090909) to get x
100/3.7090909090909=x
26.960784313725=x
x=26.960784313725

now we have:
27.5 is 26.960784313725% of 102