47.82 is what percent of 1388.49 - 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 1388.49 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 1388.49, so we can write it down as 100%=1388.49.
4. We know, that x% equals 47.82 of the output value, so we can write it down as x%=47.82.
5. Now we have two simple equations:
1) 100%=1388.49
2) x%=47.82
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%=1388.49/47.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.82 is what percent of 1388.49

100%/x%=1388.49/47.82
(100/x)*x=(1388.49/47.82)*x       - we multiply both sides of the equation by x
100=29.035759096612*x       - we divide both sides of the equation by (29.035759096612) to get x
100/29.035759096612=x
3.4440291251647=x
x=3.4440291251647

now we have:
47.82 is 3.4440291251647% of 1388.49