500.99 is what percent of 2204.75 - 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 2204.75 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 2204.75, so we can write it down as 100%=2204.75.
4. We know, that x% equals 500.99 of the output value, so we can write it down as x%=500.99.
5. Now we have two simple equations:
1) 100%=2204.75
2) x%=500.99
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%=2204.75/500.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 500.99 is what percent of 2204.75

100%/x%=2204.75/500.99
(100/x)*x=(2204.75/500.99)*x       - we multiply both sides of the equation by x
100=4.4007864428432*x       - we divide both sides of the equation by (4.4007864428432) to get x
100/4.4007864428432=x
22.723211248441=x
x=22.723211248441

now we have:
500.99 is 22.723211248441% of 2204.75