11 is what percent of 447.7 - 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 447.7 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 447.7, so we can write it down as 100%=447.7.
4. We know, that x% equals 11 of the output value, so we can write it down as x%=11.
5. Now we have two simple equations:
1) 100%=447.7
2) x%=11
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%=447.7/11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11 is what percent of 447.7

100%/x%=447.7/11
(100/x)*x=(447.7/11)*x       - we multiply both sides of the equation by x
100=40.7*x       - we divide both sides of the equation by (40.7) to get x
100/40.7=x
2.4570024570025=x
x=2.4570024570025

now we have:
11 is 2.4570024570025% of 447.7