50.62 is what percent of 449 - 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 449 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 449, so we can write it down as 100%=449.
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%=449
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%=449/50.62
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 449

100%/x%=449/50.62
(100/x)*x=(449/50.62)*x       - we multiply both sides of the equation by x
100=8.8700118530225*x       - we divide both sides of the equation by (8.8700118530225) to get x
100/8.8700118530225=x
11.273942093541=x
x=11.273942093541

now we have:
50.62 is 11.273942093541% of 449