47.28 is what percent of 395.7 - 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 395.7 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 395.7, so we can write it down as 100%=395.7.
4. We know, that x% equals 47.28 of the output value, so we can write it down as x%=47.28.
5. Now we have two simple equations:
1) 100%=395.7
2) x%=47.28
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%=395.7/47.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.28 is what percent of 395.7

100%/x%=395.7/47.28
(100/x)*x=(395.7/47.28)*x       - we multiply both sides of the equation by x
100=8.3692893401015*x       - we divide both sides of the equation by (8.3692893401015) to get x
100/8.3692893401015=x
11.948445792267=x
x=11.948445792267

now we have:
47.28 is 11.948445792267% of 395.7