20.75 is what percent of 45 - 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 45 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 45, so we can write it down as 100%=45.
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%=45
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%=45/20.75
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 45

100%/x%=45/20.75
(100/x)*x=(45/20.75)*x       - we multiply both sides of the equation by x
100=2.1686746987952*x       - we divide both sides of the equation by (2.1686746987952) to get x
100/2.1686746987952=x
46.111111111111=x
x=46.111111111111

now we have:
20.75 is 46.111111111111% of 45