53.2 is what percent of 321.6 - 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 321.6 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 321.6, so we can write it down as 100%=321.6.
4. We know, that x% equals 53.2 of the output value, so we can write it down as x%=53.2.
5. Now we have two simple equations:
1) 100%=321.6
2) x%=53.2
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%=321.6/53.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.2 is what percent of 321.6

100%/x%=321.6/53.2
(100/x)*x=(321.6/53.2)*x       - we multiply both sides of the equation by x
100=6.0451127819549*x       - we divide both sides of the equation by (6.0451127819549) to get x
100/6.0451127819549=x
16.542288557214=x
x=16.542288557214

now we have:
53.2 is 16.542288557214% of 321.6