102.79 is what percent of 275 - 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 275 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 275, so we can write it down as 100%=275.
4. We know, that x% equals 102.79 of the output value, so we can write it down as x%=102.79.
5. Now we have two simple equations:
1) 100%=275
2) x%=102.79
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%=275/102.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.79 is what percent of 275

100%/x%=275/102.79
(100/x)*x=(275/102.79)*x       - we multiply both sides of the equation by x
100=2.6753575250511*x       - we divide both sides of the equation by (2.6753575250511) to get x
100/2.6753575250511=x
37.378181818182=x
x=37.378181818182

now we have:
102.79 is 37.378181818182% of 275