47.39 is what percent of 1428.11 - 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 1428.11 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 1428.11, so we can write it down as 100%=1428.11.
4. We know, that x% equals 47.39 of the output value, so we can write it down as x%=47.39.
5. Now we have two simple equations:
1) 100%=1428.11
2) x%=47.39
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%=1428.11/47.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.39 is what percent of 1428.11

100%/x%=1428.11/47.39
(100/x)*x=(1428.11/47.39)*x       - we multiply both sides of the equation by x
100=30.135260603503*x       - we divide both sides of the equation by (30.135260603503) to get x
100/30.135260603503=x
3.3183718341024=x
x=3.3183718341024

now we have:
47.39 is 3.3183718341024% of 1428.11