48.88 is what percent of 1303.5 - 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 1303.5 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 1303.5, so we can write it down as 100%=1303.5.
4. We know, that x% equals 48.88 of the output value, so we can write it down as x%=48.88.
5. Now we have two simple equations:
1) 100%=1303.5
2) x%=48.88
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%=1303.5/48.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.88 is what percent of 1303.5

100%/x%=1303.5/48.88
(100/x)*x=(1303.5/48.88)*x       - we multiply both sides of the equation by x
100=26.667348608838*x       - we divide both sides of the equation by (26.667348608838) to get x
100/26.667348608838=x
3.7499041043345=x
x=3.7499041043345

now we have:
48.88 is 3.7499041043345% of 1303.5