21.75 is what percent of 45.5 - 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 45.5 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 45.5, so we can write it down as 100%=45.5.
4. We know, that x% equals 21.75 of the output value, so we can write it down as x%=21.75.
5. Now we have two simple equations:
1) 100%=45.5
2) x%=21.75
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%=45.5/21.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.75 is what percent of 45.5

100%/x%=45.5/21.75
(100/x)*x=(45.5/21.75)*x       - we multiply both sides of the equation by x
100=2.0919540229885*x       - we divide both sides of the equation by (2.0919540229885) to get x
100/2.0919540229885=x
47.802197802198=x
x=47.802197802198

now we have:
21.75 is 47.802197802198% of 45.5