50.62 is what percent of 404.95 - 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 404.95 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 404.95, so we can write it down as 100%=404.95.
4. We know, that x% equals 50.62 of the output value, so we can write it down as x%=50.62.
5. Now we have two simple equations:
1) 100%=404.95
2) x%=50.62
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%=404.95/50.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.62 is what percent of 404.95

100%/x%=404.95/50.62
(100/x)*x=(404.95/50.62)*x       - we multiply both sides of the equation by x
100=7.9998024496247*x       - we divide both sides of the equation by (7.9998024496247) to get x
100/7.9998024496247=x
12.500308680084=x
x=12.500308680084

now we have:
50.62 is 12.500308680084% of 404.95