11.92 is what percent of 32.97 - 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 32.97 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 32.97, so we can write it down as 100%=32.97.
4. We know, that x% equals 11.92 of the output value, so we can write it down as x%=11.92.
5. Now we have two simple equations:
1) 100%=32.97
2) x%=11.92
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%=32.97/11.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.92 is what percent of 32.97

100%/x%=32.97/11.92
(100/x)*x=(32.97/11.92)*x       - we multiply both sides of the equation by x
100=2.7659395973154*x       - we divide both sides of the equation by (2.7659395973154) to get x
100/2.7659395973154=x
36.154079466181=x
x=36.154079466181

now we have:
11.92 is 36.154079466181% of 32.97