16.5 is what percent of 35502 - 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 35502 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 35502, so we can write it down as 100%=35502.
4. We know, that x% equals 16.5 of the output value, so we can write it down as x%=16.5.
5. Now we have two simple equations:
1) 100%=35502
2) x%=16.5
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%=35502/16.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.5 is what percent of 35502

100%/x%=35502/16.5
(100/x)*x=(35502/16.5)*x       - we multiply both sides of the equation by x
100=2151.6363636364*x       - we divide both sides of the equation by (2151.6363636364) to get x
100/2151.6363636364=x
0.046476254858881=x
x=0.046476254858881

now we have:
16.5 is 0.046476254858881% of 35502