20.75 is what percent of 48.4 - 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 48.4 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 48.4, so we can write it down as 100%=48.4.
4. We know, that x% equals 20.75 of the output value, so we can write it down as x%=20.75.
5. Now we have two simple equations:
1) 100%=48.4
2) x%=20.75
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%=48.4/20.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.75 is what percent of 48.4

100%/x%=48.4/20.75
(100/x)*x=(48.4/20.75)*x       - we multiply both sides of the equation by x
100=2.3325301204819*x       - we divide both sides of the equation by (2.3325301204819) to get x
100/2.3325301204819=x
42.871900826446=x
x=42.871900826446

now we have:
20.75 is 42.871900826446% of 48.4