52.06 is what percent of 468.5 - 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 468.5 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 468.5, so we can write it down as 100%=468.5.
4. We know, that x% equals 52.06 of the output value, so we can write it down as x%=52.06.
5. Now we have two simple equations:
1) 100%=468.5
2) x%=52.06
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%=468.5/52.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.06 is what percent of 468.5

100%/x%=468.5/52.06
(100/x)*x=(468.5/52.06)*x       - we multiply both sides of the equation by x
100=8.9992316557818*x       - we divide both sides of the equation by (8.9992316557818) to get x
100/8.9992316557818=x
11.112059765208=x
x=11.112059765208

now we have:
52.06 is 11.112059765208% of 468.5