23.96 is what percent of 280.15 - 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 280.15 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 280.15, so we can write it down as 100%=280.15.
4. We know, that x% equals 23.96 of the output value, so we can write it down as x%=23.96.
5. Now we have two simple equations:
1) 100%=280.15
2) x%=23.96
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%=280.15/23.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.96 is what percent of 280.15

100%/x%=280.15/23.96
(100/x)*x=(280.15/23.96)*x       - we multiply both sides of the equation by x
100=11.692404006678*x       - we divide both sides of the equation by (11.692404006678) to get x
100/11.692404006678=x
8.5525611279672=x
x=8.5525611279672

now we have:
23.96 is 8.5525611279672% of 280.15