19.84 is what percent of 33.38 - 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 33.38 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 33.38, so we can write it down as 100%=33.38.
4. We know, that x% equals 19.84 of the output value, so we can write it down as x%=19.84.
5. Now we have two simple equations:
1) 100%=33.38
2) x%=19.84
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%=33.38/19.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.84 is what percent of 33.38

100%/x%=33.38/19.84
(100/x)*x=(33.38/19.84)*x       - we multiply both sides of the equation by x
100=1.6824596774194*x       - we divide both sides of the equation by (1.6824596774194) to get x
100/1.6824596774194=x
59.436788496105=x
x=59.436788496105

now we have:
19.84 is 59.436788496105% of 33.38