16.9 is what percent of 202.3 - 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 202.3 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 202.3, so we can write it down as 100%=202.3.
4. We know, that x% equals 16.9 of the output value, so we can write it down as x%=16.9.
5. Now we have two simple equations:
1) 100%=202.3
2) x%=16.9
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%=202.3/16.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.9 is what percent of 202.3

100%/x%=202.3/16.9
(100/x)*x=(202.3/16.9)*x       - we multiply both sides of the equation by x
100=11.970414201183*x       - we divide both sides of the equation by (11.970414201183) to get x
100/11.970414201183=x
8.353929807217=x
x=8.353929807217

now we have:
16.9 is 8.353929807217% of 202.3