1388.41 is what percent of 3294.9 - 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 3294.9 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 3294.9, so we can write it down as 100%=3294.9.
4. We know, that x% equals 1388.41 of the output value, so we can write it down as x%=1388.41.
5. Now we have two simple equations:
1) 100%=3294.9
2) x%=1388.41
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%=3294.9/1388.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1388.41 is what percent of 3294.9

100%/x%=3294.9/1388.41
(100/x)*x=(3294.9/1388.41)*x       - we multiply both sides of the equation by x
100=2.3731462608307*x       - we divide both sides of the equation by (2.3731462608307) to get x
100/2.3731462608307=x
42.138152902971=x
x=42.138152902971

now we have:
1388.41 is 42.138152902971% of 3294.9