539.5 is what percent of 2402.5 - 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 2402.5 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 2402.5, so we can write it down as 100%=2402.5.
4. We know, that x% equals 539.5 of the output value, so we can write it down as x%=539.5.
5. Now we have two simple equations:
1) 100%=2402.5
2) x%=539.5
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%=2402.5/539.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 539.5 is what percent of 2402.5

100%/x%=2402.5/539.5
(100/x)*x=(2402.5/539.5)*x       - we multiply both sides of the equation by x
100=4.4531974050046*x       - we divide both sides of the equation by (4.4531974050046) to get x
100/4.4531974050046=x
22.455775234131=x
x=22.455775234131

now we have:
539.5 is 22.455775234131% of 2402.5