4409.25 is what percent of 4499.75 - 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 4499.75 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 4499.75, so we can write it down as 100%=4499.75.
4. We know, that x% equals 4409.25 of the output value, so we can write it down as x%=4409.25.
5. Now we have two simple equations:
1) 100%=4499.75
2) x%=4409.25
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%=4499.75/4409.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4409.25 is what percent of 4499.75

100%/x%=4499.75/4409.25
(100/x)*x=(4499.75/4409.25)*x       - we multiply both sides of the equation by x
100=1.0205250326019*x       - we divide both sides of the equation by (1.0205250326019) to get x
100/1.0205250326019=x
97.988777154286=x
x=97.988777154286

now we have:
4409.25 is 97.988777154286% of 4499.75