7.5 is what percent of 19.5 - 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 19.5 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 19.5, so we can write it down as 100%=19.5.
4. We know, that x% equals 7.5 of the output value, so we can write it down as x%=7.5.
5. Now we have two simple equations:
1) 100%=19.5
2) x%=7.5
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%=19.5/7.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.5 is what percent of 19.5

100%/x%=19.5/7.5
(100/x)*x=(19.5/7.5)*x       - we multiply both sides of the equation by x
100=2.6*x       - we divide both sides of the equation by (2.6) to get x
100/2.6=x
38.461538461538=x
x=38.461538461538

now we have:
7.5 is 38.461538461538% of 19.5