2.64 is what percent of 18.75 - 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 18.75 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 18.75, so we can write it down as 100%=18.75.
4. We know, that x% equals 2.64 of the output value, so we can write it down as x%=2.64.
5. Now we have two simple equations:
1) 100%=18.75
2) x%=2.64
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%=18.75/2.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.64 is what percent of 18.75

100%/x%=18.75/2.64
(100/x)*x=(18.75/2.64)*x       - we multiply both sides of the equation by x
100=7.10227272727*x       - we divide both sides of the equation by (7.10227272727) to get x
100/7.10227272727=x
14.08=x
x=14.08

now we have:
2.64 is 14.08% of 18.75