24.24 is what percent of 319.42 - 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 319.42 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 319.42, so we can write it down as 100%=319.42.
4. We know, that x% equals 24.24 of the output value, so we can write it down as x%=24.24.
5. Now we have two simple equations:
1) 100%=319.42
2) x%=24.24
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%=319.42/24.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.24 is what percent of 319.42

100%/x%=319.42/24.24
(100/x)*x=(319.42/24.24)*x       - we multiply both sides of the equation by x
100=13.177392739274*x       - we divide both sides of the equation by (13.177392739274) to get x
100/13.177392739274=x
7.5887546177447=x
x=7.5887546177447

now we have:
24.24 is 7.5887546177447% of 319.42