248.24 is what percent of 1280 - 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 1280 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 1280, so we can write it down as 100%=1280.
4. We know, that x% equals 248.24 of the output value, so we can write it down as x%=248.24.
5. Now we have two simple equations:
1) 100%=1280
2) x%=248.24
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%=1280/248.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.24 is what percent of 1280

100%/x%=1280/248.24
(100/x)*x=(1280/248.24)*x       - we multiply both sides of the equation by x
100=5.1563003544956*x       - we divide both sides of the equation by (5.1563003544956) to get x
100/5.1563003544956=x
19.39375=x
x=19.39375

now we have:
248.24 is 19.39375% of 1280