28.96 is what percent of 2500 - 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 2500 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 2500, so we can write it down as 100%=2500.
4. We know, that x% equals 28.96 of the output value, so we can write it down as x%=28.96.
5. Now we have two simple equations:
1) 100%=2500
2) x%=28.96
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%=2500/28.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.96 is what percent of 2500

100%/x%=2500/28.96
(100/x)*x=(2500/28.96)*x       - we multiply both sides of the equation by x
100=86.325966850829*x       - we divide both sides of the equation by (86.325966850829) to get x
100/86.325966850829=x
1.1584=x
x=1.1584

now we have:
28.96 is 1.1584% of 2500