497.65 is what percent of 2394.16 - 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 2394.16 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 2394.16, so we can write it down as 100%=2394.16.
4. We know, that x% equals 497.65 of the output value, so we can write it down as x%=497.65.
5. Now we have two simple equations:
1) 100%=2394.16
2) x%=497.65
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%=2394.16/497.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 497.65 is what percent of 2394.16

100%/x%=2394.16/497.65
(100/x)*x=(2394.16/497.65)*x       - we multiply both sides of the equation by x
100=4.8109313774741*x       - we divide both sides of the equation by (4.8109313774741) to get x
100/4.8109313774741=x
20.785995923414=x
x=20.785995923414

now we have:
497.65 is 20.785995923414% of 2394.16