499.45 is what percent of 505.65 - 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 505.65 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 505.65, so we can write it down as 100%=505.65.
4. We know, that x% equals 499.45 of the output value, so we can write it down as x%=499.45.
5. Now we have two simple equations:
1) 100%=505.65
2) x%=499.45
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%=505.65/499.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 499.45 is what percent of 505.65

100%/x%=505.65/499.45
(100/x)*x=(505.65/499.45)*x       - we multiply both sides of the equation by x
100=1.0124136550205*x       - we divide both sides of the equation by (1.0124136550205) to get x
100/1.0124136550205=x
98.7738554336=x
x=98.7738554336

now we have:
499.45 is 98.7738554336% of 505.65