24.4 is what percent of 112.9 - 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 112.9 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 112.9, so we can write it down as 100%=112.9.
4. We know, that x% equals 24.4 of the output value, so we can write it down as x%=24.4.
5. Now we have two simple equations:
1) 100%=112.9
2) x%=24.4
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%=112.9/24.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.4 is what percent of 112.9

100%/x%=112.9/24.4
(100/x)*x=(112.9/24.4)*x       - we multiply both sides of the equation by x
100=4.6270491803279*x       - we divide both sides of the equation by (4.6270491803279) to get x
100/4.6270491803279=x
21.612046058459=x
x=21.612046058459

now we have:
24.4 is 21.612046058459% of 112.9