288.08 is what percent of 2052.15 - 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 2052.15 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 2052.15, so we can write it down as 100%=2052.15.
4. We know, that x% equals 288.08 of the output value, so we can write it down as x%=288.08.
5. Now we have two simple equations:
1) 100%=2052.15
2) x%=288.08
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%=2052.15/288.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.08 is what percent of 2052.15

100%/x%=2052.15/288.08
(100/x)*x=(2052.15/288.08)*x       - we multiply both sides of the equation by x
100=7.1235420716468*x       - we divide both sides of the equation by (7.1235420716468) to get x
100/7.1235420716468=x
14.037960188095=x
x=14.037960188095

now we have:
288.08 is 14.037960188095% of 2052.15