23.96 is what percent of 270.25 - 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 270.25 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 270.25, so we can write it down as 100%=270.25.
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%=270.25
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%=270.25/23.96
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 270.25

100%/x%=270.25/23.96
(100/x)*x=(270.25/23.96)*x       - we multiply both sides of the equation by x
100=11.279215358932*x       - we divide both sides of the equation by (11.279215358932) to get x
100/11.279215358932=x
8.8658649398705=x
x=8.8658649398705

now we have:
23.96 is 8.8658649398705% of 270.25