16.28 is what percent of 233.72 - 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 233.72 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 233.72, so we can write it down as 100%=233.72.
4. We know, that x% equals 16.28 of the output value, so we can write it down as x%=16.28.
5. Now we have two simple equations:
1) 100%=233.72
2) x%=16.28
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%=233.72/16.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.28 is what percent of 233.72

100%/x%=233.72/16.28
(100/x)*x=(233.72/16.28)*x       - we multiply both sides of the equation by x
100=14.356265356265*x       - we divide both sides of the equation by (14.356265356265) to get x
100/14.356265356265=x
6.965599863084=x
x=6.965599863084

now we have:
16.28 is 6.965599863084% of 233.72