48.9 is what percent of 978.9 - 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 978.9 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 978.9, so we can write it down as 100%=978.9.
4. We know, that x% equals 48.9 of the output value, so we can write it down as x%=48.9.
5. Now we have two simple equations:
1) 100%=978.9
2) x%=48.9
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%=978.9/48.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.9 is what percent of 978.9

100%/x%=978.9/48.9
(100/x)*x=(978.9/48.9)*x       - we multiply both sides of the equation by x
100=20.018404907975*x       - we divide both sides of the equation by (20.018404907975) to get x
100/20.018404907975=x
4.9954030033711=x
x=4.9954030033711

now we have:
48.9 is 4.9954030033711% of 978.9