24.83 is what percent of 49.2 - 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 49.2 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 49.2, so we can write it down as 100%=49.2.
4. We know, that x% equals 24.83 of the output value, so we can write it down as x%=24.83.
5. Now we have two simple equations:
1) 100%=49.2
2) x%=24.83
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%=49.2/24.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.83 is what percent of 49.2

100%/x%=49.2/24.83
(100/x)*x=(49.2/24.83)*x       - we multiply both sides of the equation by x
100=1.9814740233588*x       - we divide both sides of the equation by (1.9814740233588) to get x
100/1.9814740233588=x
50.467479674797=x
x=50.467479674797

now we have:
24.83 is 50.467479674797% of 49.2