16.25 is what percent of 7.75 - 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 7.75 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 7.75, so we can write it down as 100%=7.75.
4. We know, that x% equals 16.25 of the output value, so we can write it down as x%=16.25.
5. Now we have two simple equations:
1) 100%=7.75
2) x%=16.25
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%=7.75/16.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.25 is what percent of 7.75

100%/x%=7.75/16.25
(100/x)*x=(7.75/16.25)*x       - we multiply both sides of the equation by x
100=0.47692307692308*x       - we divide both sides of the equation by (0.47692307692308) to get x
100/0.47692307692308=x
209.67741935484=x
x=209.67741935484

now we have:
16.25 is 209.67741935484% of 7.75