26.24 is what percent of 230.9 - 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 230.9 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 230.9, so we can write it down as 100%=230.9.
4. We know, that x% equals 26.24 of the output value, so we can write it down as x%=26.24.
5. Now we have two simple equations:
1) 100%=230.9
2) x%=26.24
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%=230.9/26.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.24 is what percent of 230.9

100%/x%=230.9/26.24
(100/x)*x=(230.9/26.24)*x       - we multiply both sides of the equation by x
100=8.7995426829268*x       - we divide both sides of the equation by (8.7995426829268) to get x
100/8.7995426829268=x
11.364226938068=x
x=11.364226938068

now we have:
26.24 is 11.364226938068% of 230.9