508.5 is what percent of 463.33 - 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 463.33 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 463.33, so we can write it down as 100%=463.33.
4. We know, that x% equals 508.5 of the output value, so we can write it down as x%=508.5.
5. Now we have two simple equations:
1) 100%=463.33
2) x%=508.5
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%=463.33/508.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 508.5 is what percent of 463.33

100%/x%=463.33/508.5
(100/x)*x=(463.33/508.5)*x       - we multiply both sides of the equation by x
100=0.91117010816126*x       - we divide both sides of the equation by (0.91117010816126) to get x
100/0.91117010816126=x
109.74899099994=x
x=109.74899099994

now we have:
508.5 is 109.74899099994% of 463.33