21.75 is what percent of 40.2 - 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 40.2 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 40.2, so we can write it down as 100%=40.2.
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%=40.2
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%=40.2/21.75
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 40.2

100%/x%=40.2/21.75
(100/x)*x=(40.2/21.75)*x       - we multiply both sides of the equation by x
100=1.848275862069*x       - we divide both sides of the equation by (1.848275862069) to get x
100/1.848275862069=x
54.10447761194=x
x=54.10447761194

now we have:
21.75 is 54.10447761194% of 40.2