16.9 is what percent of 54.8 - 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 54.8 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 54.8, so we can write it down as 100%=54.8.
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%=54.8
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%=54.8/16.9
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 54.8

100%/x%=54.8/16.9
(100/x)*x=(54.8/16.9)*x       - we multiply both sides of the equation by x
100=3.2426035502959*x       - we divide both sides of the equation by (3.2426035502959) to get x
100/3.2426035502959=x
30.839416058394=x
x=30.839416058394

now we have:
16.9 is 30.839416058394% of 54.8