21.25 is what percent of 16.64 - 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 16.64 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 16.64, so we can write it down as 100%=16.64.
4. We know, that x% equals 21.25 of the output value, so we can write it down as x%=21.25.
5. Now we have two simple equations:
1) 100%=16.64
2) x%=21.25
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%=16.64/21.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.25 is what percent of 16.64

100%/x%=16.64/21.25
(100/x)*x=(16.64/21.25)*x       - we multiply both sides of the equation by x
100=0.78305882352941*x       - we divide both sides of the equation by (0.78305882352941) to get x
100/0.78305882352941=x
127.70432692308=x
x=127.70432692308

now we have:
21.25 is 127.70432692308% of 16.64