499.36 is what percent of 2300 - 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 2300 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 2300, so we can write it down as 100%=2300.
4. We know, that x% equals 499.36 of the output value, so we can write it down as x%=499.36.
5. Now we have two simple equations:
1) 100%=2300
2) x%=499.36
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%=2300/499.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 499.36 is what percent of 2300

100%/x%=2300/499.36
(100/x)*x=(2300/499.36)*x       - we multiply both sides of the equation by x
100=4.6058955462993*x       - we divide both sides of the equation by (4.6058955462993) to get x
100/4.6058955462993=x
21.711304347826=x
x=21.711304347826

now we have:
499.36 is 21.711304347826% of 2300