33.2 is what percent of 10.9 - 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 10.9 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 10.9, so we can write it down as 100%=10.9.
4. We know, that x% equals 33.2 of the output value, so we can write it down as x%=33.2.
5. Now we have two simple equations:
1) 100%=10.9
2) x%=33.2
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%=10.9/33.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.2 is what percent of 10.9

100%/x%=10.9/33.2
(100/x)*x=(10.9/33.2)*x       - we multiply both sides of the equation by x
100=0.32831325301205*x       - we divide both sides of the equation by (0.32831325301205) to get x
100/0.32831325301205=x
304.5871559633=x
x=304.5871559633

now we have:
33.2 is 304.5871559633% of 10.9