462.5 is what percent of 516 - 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 516 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 516, so we can write it down as 100%=516.
4. We know, that x% equals 462.5 of the output value, so we can write it down as x%=462.5.
5. Now we have two simple equations:
1) 100%=516
2) x%=462.5
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%=516/462.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 462.5 is what percent of 516

100%/x%=516/462.5
(100/x)*x=(516/462.5)*x       - we multiply both sides of the equation by x
100=1.1156756756757*x       - we divide both sides of the equation by (1.1156756756757) to get x
100/1.1156756756757=x
89.631782945736=x
x=89.631782945736

now we have:
462.5 is 89.631782945736% of 516