24.84 is what percent of 247.92 - 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 247.92 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 247.92, so we can write it down as 100%=247.92.
4. We know, that x% equals 24.84 of the output value, so we can write it down as x%=24.84.
5. Now we have two simple equations:
1) 100%=247.92
2) x%=24.84
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%=247.92/24.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.84 is what percent of 247.92

100%/x%=247.92/24.84
(100/x)*x=(247.92/24.84)*x       - we multiply both sides of the equation by x
100=9.9806763285024*x       - we divide both sides of the equation by (9.9806763285024) to get x
100/9.9806763285024=x
10.019361084221=x
x=10.019361084221

now we have:
24.84 is 10.019361084221% of 247.92