499.7 is what percent of 640 - 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 640 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 640, so we can write it down as 100%=640.
4. We know, that x% equals 499.7 of the output value, so we can write it down as x%=499.7.
5. Now we have two simple equations:
1) 100%=640
2) x%=499.7
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%=640/499.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 499.7 is what percent of 640

100%/x%=640/499.7
(100/x)*x=(640/499.7)*x       - we multiply both sides of the equation by x
100=1.2807684610766*x       - we divide both sides of the equation by (1.2807684610766) to get x
100/1.2807684610766=x
78.078125=x
x=78.078125

now we have:
499.7 is 78.078125% of 640