16.38 is what percent of 46.33 - 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 46.33 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 46.33, so we can write it down as 100%=46.33.
4. We know, that x% equals 16.38 of the output value, so we can write it down as x%=16.38.
5. Now we have two simple equations:
1) 100%=46.33
2) x%=16.38
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%=46.33/16.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.38 is what percent of 46.33

100%/x%=46.33/16.38
(100/x)*x=(46.33/16.38)*x       - we multiply both sides of the equation by x
100=2.8284493284493*x       - we divide both sides of the equation by (2.8284493284493) to get x
100/2.8284493284493=x
35.355061515217=x
x=35.355061515217

now we have:
16.38 is 35.355061515217% of 46.33