7.6 is what percent of 25.28 - 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 25.28 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 25.28, so we can write it down as 100%=25.28.
4. We know, that x% equals 7.6 of the output value, so we can write it down as x%=7.6.
5. Now we have two simple equations:
1) 100%=25.28
2) x%=7.6
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%=25.28/7.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.6 is what percent of 25.28

100%/x%=25.28/7.6
(100/x)*x=(25.28/7.6)*x       - we multiply both sides of the equation by x
100=3.3263157894737*x       - we divide both sides of the equation by (3.3263157894737) to get x
100/3.3263157894737=x
30.063291139241=x
x=30.063291139241

now we have:
7.6 is 30.063291139241% of 25.28