6.25 is what percent of 116 - 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 116 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 116, so we can write it down as 100%=116.
4. We know, that x% equals 6.25 of the output value, so we can write it down as x%=6.25.
5. Now we have two simple equations:
1) 100%=116
2) x%=6.25
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%=116/6.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.25 is what percent of 116

100%/x%=116/6.25
(100/x)*x=(116/6.25)*x       - we multiply both sides of the equation by x
100=18.56*x       - we divide both sides of the equation by (18.56) to get x
100/18.56=x
5.3879310344828=x
x=5.3879310344828

now we have:
6.25 is 5.3879310344828% of 116