48.43 is what percent of 244.16 - 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 244.16 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 244.16, so we can write it down as 100%=244.16.
4. We know, that x% equals 48.43 of the output value, so we can write it down as x%=48.43.
5. Now we have two simple equations:
1) 100%=244.16
2) x%=48.43
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%=244.16/48.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.43 is what percent of 244.16

100%/x%=244.16/48.43
(100/x)*x=(244.16/48.43)*x       - we multiply both sides of the equation by x
100=5.0415032004956*x       - we divide both sides of the equation by (5.0415032004956) to get x
100/5.0415032004956=x
19.835353866317=x
x=19.835353866317

now we have:
48.43 is 19.835353866317% of 244.16