11.33 is what percent of 97.52 - 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 97.52 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 97.52, so we can write it down as 100%=97.52.
4. We know, that x% equals 11.33 of the output value, so we can write it down as x%=11.33.
5. Now we have two simple equations:
1) 100%=97.52
2) x%=11.33
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%=97.52/11.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.33 is what percent of 97.52

100%/x%=97.52/11.33
(100/x)*x=(97.52/11.33)*x       - we multiply both sides of the equation by x
100=8.6072374227714*x       - we divide both sides of the equation by (8.6072374227714) to get x
100/8.6072374227714=x
11.618129614438=x
x=11.618129614438

now we have:
11.33 is 11.618129614438% of 97.52