16.74 is what percent of 46.75 - 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 46.75 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 46.75, so we can write it down as 100%=46.75.
4. We know, that x% equals 16.74 of the output value, so we can write it down as x%=16.74.
5. Now we have two simple equations:
1) 100%=46.75
2) x%=16.74
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%=46.75/16.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.74 is what percent of 46.75

100%/x%=46.75/16.74
(100/x)*x=(46.75/16.74)*x       - we multiply both sides of the equation by x
100=2.7927120669056*x       - we divide both sides of the equation by (2.7927120669056) to get x
100/2.7927120669056=x
35.807486631016=x
x=35.807486631016

now we have:
16.74 is 35.807486631016% of 46.75