481.55 is what percent of 500 - 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 500 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 500, so we can write it down as 100%=500.
4. We know, that x% equals 481.55 of the output value, so we can write it down as x%=481.55.
5. Now we have two simple equations:
1) 100%=500
2) x%=481.55
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%=500/481.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 481.55 is what percent of 500

100%/x%=500/481.55
(100/x)*x=(500/481.55)*x       - we multiply both sides of the equation by x
100=1.0383137784238*x       - we divide both sides of the equation by (1.0383137784238) to get x
100/1.0383137784238=x
96.31=x
x=96.31

now we have:
481.55 is 96.31% of 500