16.6 is what percent of 35.7 - 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 35.7 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 35.7, so we can write it down as 100%=35.7.
4. We know, that x% equals 16.6 of the output value, so we can write it down as x%=16.6.
5. Now we have two simple equations:
1) 100%=35.7
2) x%=16.6
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%=35.7/16.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.6 is what percent of 35.7

100%/x%=35.7/16.6
(100/x)*x=(35.7/16.6)*x       - we multiply both sides of the equation by x
100=2.1506024096386*x       - we divide both sides of the equation by (2.1506024096386) to get x
100/2.1506024096386=x
46.498599439776=x
x=46.498599439776

now we have:
16.6 is 46.498599439776% of 35.7