11.52 is what percent of 16.33 - 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 16.33 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 16.33, so we can write it down as 100%=16.33.
4. We know, that x% equals 11.52 of the output value, so we can write it down as x%=11.52.
5. Now we have two simple equations:
1) 100%=16.33
2) x%=11.52
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%=16.33/11.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.52 is what percent of 16.33

100%/x%=16.33/11.52
(100/x)*x=(16.33/11.52)*x       - we multiply both sides of the equation by x
100=1.4175347222222*x       - we divide both sides of the equation by (1.4175347222222) to get x
100/1.4175347222222=x
70.545009185548=x
x=70.545009185548

now we have:
11.52 is 70.545009185548% of 16.33