16.9 is what percent of 52.8 - 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 52.8 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 52.8, so we can write it down as 100%=52.8.
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%=52.8
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%=52.8/16.9
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 52.8

100%/x%=52.8/16.9
(100/x)*x=(52.8/16.9)*x       - we multiply both sides of the equation by x
100=3.1242603550296*x       - we divide both sides of the equation by (3.1242603550296) to get x
100/3.1242603550296=x
32.007575757576=x
x=32.007575757576

now we have:
16.9 is 32.007575757576% of 52.8