15.28 is what percent of 260.32 - 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 260.32 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 260.32, so we can write it down as 100%=260.32.
4. We know, that x% equals 15.28 of the output value, so we can write it down as x%=15.28.
5. Now we have two simple equations:
1) 100%=260.32
2) x%=15.28
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%=260.32/15.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.28 is what percent of 260.32

100%/x%=260.32/15.28
(100/x)*x=(260.32/15.28)*x       - we multiply both sides of the equation by x
100=17.03664921466*x       - we divide both sides of the equation by (17.03664921466) to get x
100/17.03664921466=x
5.8696988322065=x
x=5.8696988322065

now we have:
15.28 is 5.8696988322065% of 260.32