280.69 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 280.69 of the output value, so we can write it down as x%=280.69.
5. Now we have two simple equations:
1) 100%=2500
2) x%=280.69
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%=2500/280.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 280.69 is what percent of 2500

100%/x%=2500/280.69
(100/x)*x=(2500/280.69)*x       - we multiply both sides of the equation by x
100=8.9066229648367*x       - we divide both sides of the equation by (8.9066229648367) to get x
100/8.9066229648367=x
11.2276=x
x=11.2276

now we have:
280.69 is 11.2276% of 2500