16.9 is what percent of 35.8 - 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 35.8 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 35.8, so we can write it down as 100%=35.8.
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%=35.8
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%=35.8/16.9
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 35.8

100%/x%=35.8/16.9
(100/x)*x=(35.8/16.9)*x       - we multiply both sides of the equation by x
100=2.1183431952663*x       - we divide both sides of the equation by (2.1183431952663) to get x
100/2.1183431952663=x
47.206703910615=x
x=47.206703910615

now we have:
16.9 is 47.206703910615% of 35.8