33.38 is what percent of 188.4 - 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 188.4 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 188.4, so we can write it down as 100%=188.4.
4. We know, that x% equals 33.38 of the output value, so we can write it down as x%=33.38.
5. Now we have two simple equations:
1) 100%=188.4
2) x%=33.38
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%=188.4/33.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.38 is what percent of 188.4

100%/x%=188.4/33.38
(100/x)*x=(188.4/33.38)*x       - we multiply both sides of the equation by x
100=5.6440982624326*x       - we divide both sides of the equation by (5.6440982624326) to get x
100/5.6440982624326=x
17.717622080679=x
x=17.717622080679

now we have:
33.38 is 17.717622080679% of 188.4