30.52 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 30.52 of the output value, so we can write it down as x%=30.52.
5. Now we have two simple equations:
1) 100%=275
2) x%=30.52
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%=275/30.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.52 is what percent of 275

100%/x%=275/30.52
(100/x)*x=(275/30.52)*x       - we multiply both sides of the equation by x
100=9.0104849279161*x       - we divide both sides of the equation by (9.0104849279161) to get x
100/9.0104849279161=x
11.098181818182=x
x=11.098181818182

now we have:
30.52 is 11.098181818182% of 275