387.94 is what percent of 404.1 - 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 404.1 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 404.1, so we can write it down as 100%=404.1.
4. We know, that x% equals 387.94 of the output value, so we can write it down as x%=387.94.
5. Now we have two simple equations:
1) 100%=404.1
2) x%=387.94
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%=404.1/387.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 387.94 is what percent of 404.1

100%/x%=404.1/387.94
(100/x)*x=(404.1/387.94)*x       - we multiply both sides of the equation by x
100=1.0416559261742*x       - we divide both sides of the equation by (1.0416559261742) to get x
100/1.0416559261742=x
96.000989853997=x
x=96.000989853997

now we have:
387.94 is 96.000989853997% of 404.1