417.52 is what percent of 2498.48 - 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 2498.48 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 2498.48, so we can write it down as 100%=2498.48.
4. We know, that x% equals 417.52 of the output value, so we can write it down as x%=417.52.
5. Now we have two simple equations:
1) 100%=2498.48
2) x%=417.52
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%=2498.48/417.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 417.52 is what percent of 2498.48

100%/x%=2498.48/417.52
(100/x)*x=(2498.48/417.52)*x       - we multiply both sides of the equation by x
100=5.9840965702242*x       - we divide both sides of the equation by (5.9840965702242) to get x
100/5.9840965702242=x
16.71096026384=x
x=16.71096026384

now we have:
417.52 is 16.71096026384% of 2498.48