28.8 is what percent of 173.6 - 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 173.6 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 173.6, so we can write it down as 100%=173.6.
4. We know, that x% equals 28.8 of the output value, so we can write it down as x%=28.8.
5. Now we have two simple equations:
1) 100%=173.6
2) x%=28.8
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%=173.6/28.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.8 is what percent of 173.6

100%/x%=173.6/28.8
(100/x)*x=(173.6/28.8)*x       - we multiply both sides of the equation by x
100=6.0277777777778*x       - we divide both sides of the equation by (6.0277777777778) to get x
100/6.0277777777778=x
16.589861751152=x
x=16.589861751152

now we have:
28.8 is 16.589861751152% of 173.6