248.18 is what percent of 5515.03 - 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 5515.03 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 5515.03, so we can write it down as 100%=5515.03.
4. We know, that x% equals 248.18 of the output value, so we can write it down as x%=248.18.
5. Now we have two simple equations:
1) 100%=5515.03
2) x%=248.18
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%=5515.03/248.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 248.18 is what percent of 5515.03

100%/x%=5515.03/248.18
(100/x)*x=(5515.03/248.18)*x       - we multiply both sides of the equation by x
100=22.221895398501*x       - we divide both sides of the equation by (22.221895398501) to get x
100/22.221895398501=x
4.5000661827769=x
x=4.5000661827769

now we have:
248.18 is 4.5000661827769% of 5515.03