20.75 is what percent of 42.5 - 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 42.5 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 42.5, so we can write it down as 100%=42.5.
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%=42.5
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%=42.5/20.75
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 42.5

100%/x%=42.5/20.75
(100/x)*x=(42.5/20.75)*x       - we multiply both sides of the equation by x
100=2.0481927710843*x       - we divide both sides of the equation by (2.0481927710843) to get x
100/2.0481927710843=x
48.823529411765=x
x=48.823529411765

now we have:
20.75 is 48.823529411765% of 42.5