47.25 is what percent of 399.25 - 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 399.25 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 399.25, so we can write it down as 100%=399.25.
4. We know, that x% equals 47.25 of the output value, so we can write it down as x%=47.25.
5. Now we have two simple equations:
1) 100%=399.25
2) x%=47.25
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%=399.25/47.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.25 is what percent of 399.25

100%/x%=399.25/47.25
(100/x)*x=(399.25/47.25)*x       - we multiply both sides of the equation by x
100=8.4497354497354*x       - we divide both sides of the equation by (8.4497354497354) to get x
100/8.4497354497354=x
11.834690043832=x
x=11.834690043832

now we have:
47.25 is 11.834690043832% of 399.25